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256738968 = 23323565819
BaseRepresentation
bin11110100110110…
…00011010011000
3122220002200122200
433103120122120
51011211121333
641250450200
76235150053
oct1723303230
9586080580
10256738968
11121a16872
1271b93960
1341261b65
1426151a9a
1517815c13
hexf4d8698

256738968 has 24 divisors (see below), whose sum is σ = 695334900. Its totient is φ = 85579632.

The previous prime is 256738961. The next prime is 256738997. The reversal of 256738968 is 869837652.

It is a happy number.

256738968 is a `hidden beast` number, since 256 + 7 + 389 + 6 + 8 = 666.

256738968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256738961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1782838 + ... + 1782981.

Almost surely, 2256738968 is an apocalyptic number.

It is an amenable number.

256738968 is an abundant number, since it is smaller than the sum of its proper divisors (438595932).

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

256738968 is a wasteful number, since it uses less digits than its factorization.

256738968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565831 (or 3565824 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 256738968 is about 16023.0761091621. The cubic root of 256738968 is about 635.5707914601.

The spelling of 256738968 in words is "two hundred fifty-six million, seven hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3565819 7131638 10697457 14263276 21394914 28526552 32092371 42789828 64184742 85579656 128369484 256738968