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256520368 = 24132194993
BaseRepresentation
bin11110100101000…
…11000010110000
3122212200120210101
433102203002300
51011132122433
641242042144
76233246536
oct1722430260
9585616711
10256520368
11121887605
1271aa9354
13411b6500
14260d6156
15177c107d
hexf4a30b0

256520368 has 60 divisors (see below), whose sum is σ = 566619240. Its totient is φ = 112140288.

The previous prime is 256520333. The next prime is 256520417. The reversal of 256520368 is 863025652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48880 + ... + 53872.

It is an arithmetic number, because the mean of its divisors is an integer number (9443654).

Almost surely, 2256520368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256520368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283309620).

256520368 is an abundant number, since it is smaller than the sum of its proper divisors (310098872).

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

256520368 is a wasteful number, since it uses less digits than its factorization.

256520368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 256520368 is about 16016.2532447511. The cubic root of 256520368 is about 635.3903549816.

The spelling of 256520368 in words is "two hundred fifty-six million, five hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 494 676 988 1352 1976 2704 3211 3952 4993 6422 9986 12844 19972 25688 39944 51376 64909 79888 94867 129818 189734 259636 379468 519272 758936 843817 1038544 1233271 1517872 1687634 2466542 3375268 4933084 6750536 9866168 13501072 16032523 19732336 32065046 64130092 128260184 256520368