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4225504240 = 2451917316069
BaseRepresentation
bin1111101111011100…
…0001001111110000
3101220111000212010001
43323313001033300
532123212113430
61535143115344
7206466123226
oct37367011760
911814025101
104225504240
111879206971
1299b142b54
13524568589
142c1294b16
1519ae6b3ca
hexfbdc13f0

4225504240 has 80 divisors (see below), whose sum is σ = 10401789600. Its totient is φ = 1591888896.

The previous prime is 4225504237. The next prime is 4225504243. The reversal of 4225504240 is 424055224.

It is an interprime number because it is at equal distance from previous prime (4225504237) and next prime (4225504243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4225504199 and 4225504208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225504243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254926 + ... + 270994.

It is an arithmetic number, because the mean of its divisors is an integer number (130022370).

Almost surely, 24225504240 is an apocalyptic number.

4225504240 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 4225504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200894800).

4225504240 is an abundant number, since it is smaller than the sum of its proper divisors (6176285360).

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

4225504240 is a wasteful number, since it uses less digits than its factorization.

4225504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16268 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 4225504240 is about 65003.8786535081. The cubic root of 4225504240 is about 1616.6878729401.

Adding to 4225504240 its reverse (424055224), we get a palindrome (4649559464).

The spelling of 4225504240 in words is "four billion, two hundred twenty-five million, five hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 173 190 304 346 380 692 760 865 1384 1520 1730 2768 3287 3460 6574 6920 13148 13840 16069 16435 26296 32138 32870 52592 64276 65740 80345 128552 131480 160690 257104 262960 305311 321380 610622 642760 1221244 1285520 1526555 2442488 2779937 3053110 4884976 5559874 6106220 11119748 12212440 13899685 22239496 24424880 27799370 44478992 52818803 55598740 105637606 111197480 211275212 222394960 264094015 422550424 528188030 845100848 1056376060 2112752120 4225504240