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256451004 = 223256312653
BaseRepresentation
bin11110100100100…
…10000110111100
3122212120001122100
433102102012330
51011122413004
641240345100
76232540365
oct1722220674
9585501570
10256451004
1112183a487
1271a75190
1341190a74
14260b8b6c
15177aa739
hexf4921bc

256451004 has 36 divisors (see below), whose sum is σ = 649453896. Its totient is φ = 85325088.

The previous prime is 256450991. The next prime is 256451017. The reversal of 256451004 is 400154652.

256451004 is a `hidden beast` number, since 2 + 5 + 645 + 10 + 0 + 4 = 666.

256451004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256450991) and next prime (256451017).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent 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, 13942 + ... + 26594.

It is an arithmetic number, because the mean of its divisors is an integer number (18040386).

Almost surely, 2256451004 is an apocalyptic number.

It is an amenable number.

256451004 is an abundant number, since it is smaller than the sum of its proper divisors (393002892).

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

256451004 is a wasteful number, since it uses less digits than its factorization.

256451004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13226 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 256451004 is about 16014.0876730459. The cubic root of 256451004 is about 635.3330792312. Note that the first 3 decimals are identical.

The spelling of 256451004 in words is "two hundred fifty-six million, four hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 563 1126 1689 2252 3378 5067 6756 10134 12653 20268 25306 37959 50612 75918 113877 151836 227754 455508 7123639 14247278 21370917 28494556 42741834 64112751 85483668 128225502 256451004