[go: up one dir, main page]

Search a number
-
+
5433200 = 245217247
BaseRepresentation
bin10100101110011101110000
3101020000221122
4110232131300
52342330300
6312241412
764116143
oct24563560
911200848
105433200
113081053
1219a0268
131183016
14a1605a
15724c85
hex52e770

5433200 has 90 divisors (see below), whose sum is σ = 14161296. Its totient is φ = 2001920.

The previous prime is 5433167. The next prime is 5433223. The reversal of 5433200 is 23345.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115577 + ... + 115623.

Almost surely, 25433200 is an apocalyptic number.

5433200 is a gapful number since it is divisible by the number (50) 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 5433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080648).

5433200 is an abundant number, since it is smaller than the sum of its proper divisors (8728096).

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

5433200 is a wasteful number, since it uses less digits than its factorization.

5433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 5433200 is about 2330.9225641364. The cubic root of 5433200 is about 175.7998758370.

5433200 divided by its sum of digits (17) gives a triangular number (319600 = T799).

Adding to 5433200 its reverse (23345), we get a palindrome (5456545).

The spelling of 5433200 in words is "five million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 47 50 68 80 85 94 100 136 170 188 200 235 272 289 340 376 400 425 470 578 680 752 799 850 940 1156 1175 1360 1445 1598 1700 1880 2312 2350 2890 3196 3400 3760 3995 4624 4700 5780 6392 6800 7225 7990 9400 11560 12784 13583 14450 15980 18800 19975 23120 27166 28900 31960 39950 54332 57800 63920 67915 79900 108664 115600 135830 159800 217328 271660 319600 339575 543320 679150 1086640 1358300 2716600 5433200