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264256056 = 233212233001
BaseRepresentation
bin11111100000000…
…11101000111000
3200102020121011100
433300003220320
51020122143211
642115531400
76356065551
oct1760035070
9612217140
10264256056
11126190539
12745b9b60
134299453c
142714b328
15182ed156
hexfc03a38

264256056 has 48 divisors (see below), whose sum is σ = 716517360. Its totient is φ = 87984000.

The previous prime is 264256051. The next prime is 264256067. The reversal of 264256056 is 650652462.

264256056 is a `hidden beast` number, since 2 + 6 + 42 + 5 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 264256056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264256051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86556 + ... + 89556.

It is an arithmetic number, because the mean of its divisors is an integer number (14927445).

Almost surely, 2264256056 is an apocalyptic number.

It is an amenable number.

264256056 is an abundant number, since it is smaller than the sum of its proper divisors (452261304).

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

264256056 is a wasteful number, since it uses less digits than its factorization.

264256056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 264256056 is about 16255.9544782827. The cubic root of 264256056 is about 641.7142000956.

The spelling of 264256056 in words is "two hundred sixty-four million, two hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1223 2446 3001 3669 4892 6002 7338 9003 9784 11007 12004 14676 18006 22014 24008 27009 29352 36012 44028 54018 72024 88056 108036 216072 3670223 7340446 11010669 14680892 22021338 29361784 33032007 44042676 66064014 88085352 132128028 264256056