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256563468 = 223271018109
BaseRepresentation
bin11110100101011…
…01100100001100
3122212202202220200
433102231210030
51011140012333
641243013500
76233516310
oct1722554414
9585682820
10256563468
11121906a27
1271b0a290
1341200005
1426107b40
15177cdc13
hexf4ad90c

256563468 has 36 divisors (see below), whose sum is σ = 741184080. Its totient is φ = 73303776.

The previous prime is 256563457. The next prime is 256563469. The reversal of 256563468 is 864365652.

256563468 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 634 + 6 + 8 = 666.

256563468 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 (36).

It is a super-2 number, since 2×2565634682 = 131649626224374048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256563469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508803 + ... + 509306.

Almost surely, 2256563468 is an apocalyptic number.

256563468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256563468 is an abundant number, since it is smaller than the sum of its proper divisors (484620612).

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

256563468 is a wasteful number, since it uses less digits than its factorization.

256563468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018126 (or 1018121 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 256563468 is about 16017.5986964339. The cubic root of 256563468 is about 635.4259386286.

The spelling of 256563468 in words is "two hundred fifty-six million, five hundred sixty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1018109 2036218 3054327 4072436 6108654 7126763 9162981 12217308 14253526 18325962 21380289 28507052 36651924 42760578 64140867 85521156 128281734 256563468