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264373056 = 2632458981
BaseRepresentation
bin11111100001000…
…00001101000000
3200102110112122200
433300200031000
51020134414211
642122233200
76360063633
oct1760401500
9612415580
10264373056
11126260432
1274655800
1342a0587c
142717bc1a
1518322b56
hexfc20340

264373056 has 42 divisors (see below), whose sum is σ = 757779282. Its totient is φ = 88124160.

The previous prime is 264373013. The next prime is 264373061. The reversal of 264373056 is 650373462.

264373056 is a `hidden beast` number, since 2 + 643 + 7 + 3 + 0 + 5 + 6 = 666.

264373056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 243360000 + 21013056 = 15600^2 + 4584^2 .

It is a super-2 number, since 2×2643730562 = 139786225477558272, which contains 22 as substring.

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 264373056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228915 + ... + 230066.

Almost surely, 2264373056 is an apocalyptic number.

It is an amenable number.

264373056 is an abundant number, since it is smaller than the sum of its proper divisors (493406226).

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

264373056 is a wasteful number, since it uses less digits than its factorization.

264373056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458999 (or 458986 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 264373056 is about 16259.5527613769. The cubic root of 264373056 is about 641.8088929534.

The spelling of 264373056 in words is "two hundred sixty-four million, three hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 458981 917962 1376943 1835924 2753886 3671848 4130829 5507772 7343696 8261658 11015544 14687392 16523316 22031088 29374784 33046632 44062176 66093264 88124352 132186528 264373056