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256791832 = 23114721321
BaseRepresentation
bin11110100111001…
…01010100011000
3122220012101011121
433103211110120
51011214314312
641251535024
76235460143
oct1723452430
9586171147
10256791832
11121a52560
1271bba474
134127cc3b
142616705a
1517826707
hexf4e5518

256791832 has 48 divisors (see below), whose sum is σ = 537075720. Its totient is φ = 114153600.

The previous prime is 256791827. The next prime is 256791889. The reversal of 256791832 is 238197652.

256791832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 193732 + ... + 195052.

Almost surely, 2256791832 is an apocalyptic number.

256791832 is a gapful number since it is divisible by the number (22) 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 256791832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268537860).

256791832 is an abundant number, since it is smaller than the sum of its proper divisors (280283888).

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

256791832 is a wasteful number, since it uses less digits than its factorization.

256791832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1381 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 256791832 is about 16024.7256450774. The cubic root of 256791832 is about 635.6144110020.

The spelling of 256791832 in words is "two hundred fifty-six million, seven hundred ninety-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 1321 2068 2209 2642 4136 4418 5284 8836 10568 14531 17672 24299 29062 48598 58124 62087 97196 116248 124174 194392 248348 496696 682957 1365914 2731828 2918089 5463656 5836178 11672356 23344712 32098979 64197958 128395916 256791832