[go: up one dir, main page]

Search a number
-
+
4250000000 = 275917
BaseRepresentation
bin1111110101010001…
…1101101010000000
3101222012010100222102
43331110131222000
532201000000000
61541420125532
7210214255361
oct37524355200
911865110872
104250000000
1118910179a4
129a73968a8
135296640cc
142c462db68
1519d1a93d5
hexfd51da80

4250000000 has 160 divisors (see below), whose sum is σ = 11206053540. Its totient is φ = 1600000000.

The previous prime is 4249999997. The next prime is 4250000023. The reversal of 4250000000 is 524.

4250000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 3305790016 + 944209984 = 57496^2 + 30728^2 .

It is a sliding number, since 4250000000 = 250000000 + 4000000000 and 1/250000000 + 1/4000000000 = 0.000000004250000000.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249999992 + ... + 250000008.

Almost surely, 24250000000 is an apocalyptic number.

4250000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603026770).

4250000000 is an abundant number, since it is smaller than the sum of its proper divisors (6956053540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4250000000 is an frugal number, since it uses more digits than its factorization.

4250000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4250000000 is about 65192.0240520265. The cubic root of 4250000000 is about 1619.8059006387.

Adding to 4250000000 its reverse (524), we get a palindrome (4250000524).

It can be divided in two parts, 4 and 250000000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 4250000000 in words is "four billion, two hundred fifty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 625 640 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2176 2500 2720 3125 3200 3400 4000 4250 5000 5440 6250 6800 8000 8500 10000 10625 10880 12500 13600 15625 16000 17000 20000 21250 25000 27200 31250 34000 40000 42500 50000 53125 54400 62500 68000 78125 80000 85000 100000 106250 125000 136000 156250 170000 200000 212500 250000 265625 272000 312500 340000 390625 400000 425000 500000 531250 625000 680000 781250 850000 1000000 1062500 1250000 1328125 1360000 1562500 1700000 1953125 2000000 2125000 2500000 2656250 3125000 3400000 3906250 4250000 5000000 5312500 6250000 6640625 6800000 7812500 8500000 10000000 10625000 12500000 13281250 15625000 17000000 21250000 25000000 26562500 31250000 33203125 34000000 42500000 50000000 53125000 62500000 66406250 85000000 106250000 125000000 132812500 170000000 212500000 250000000 265625000 425000000 531250000 850000000 1062500000 2125000000 4250000000