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256642992 = 243622003
BaseRepresentation
bin11110100110000…
…00111110110000
3122212220211000000
433103000332300
51011200033432
641244430000
76234300204
oct1723007660
9585824000
10256642992
11121960751
1271b48300
134122a278
1426128b04
15177e757c
hexf4c0fb0

256642992 has 70 divisors (see below), whose sum is σ = 745561532. Its totient is φ = 85543776.

The previous prime is 256642973. The next prime is 256643029. The reversal of 256642992 is 299246652.

256642992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 663 + ... + 22665.

Almost surely, 2256642992 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 256642992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372780766).

256642992 is an abundant number, since it is smaller than the sum of its proper divisors (488918540).

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

256642992 is an equidigital number, since it uses as much as digits as its factorization.

256642992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22029 (or 22008 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 256642992 is about 16020.0808986721. The cubic root of 256642992 is about 635.4915837140.

The spelling of 256642992 in words is "two hundred fifty-six million, six hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 22003 44006 66009 88012 132018 176024 198027 264036 352048 396054 528072 594081 792108 1056144 1188162 1584216 1782243 2376324 3168432 3564486 4752648 5346729 7128972 9505296 10693458 14257944 16040187 21386916 28515888 32080374 42773832 64160748 85547664 128321496 256642992