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264530832 = 24334915791
BaseRepresentation
bin11111100010001…
…10101110010000
3200102202120002020
433301012232100
51020204441312
642125451440
76361321626
oct1761065620
9612676066
10264530832
11126358a25
1274710b80
1342a5c627
14271bd516
151835478c
hexfc46b90

264530832 has 40 divisors (see below), whose sum is σ = 685372800. Its totient is φ = 87918720.

The previous prime is 264530813. The next prime is 264530867. The reversal of 264530832 is 238035462.

It is a happy number.

264530832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2645308322 = 139953122157224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264530793 and 264530802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8857 + ... + 24647.

It is an arithmetic number, because the mean of its divisors is an integer number (17134320).

Almost surely, 2264530832 is an apocalyptic number.

It is an amenable number.

264530832 is an abundant number, since it is smaller than the sum of its proper divisors (420841968).

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

264530832 is a wasteful number, since it uses less digits than its factorization.

264530832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16151 (or 16145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 264530832 is about 16264.4038316810. The cubic root of 264530832 is about 641.9365432568.

The spelling of 264530832 in words is "two hundred sixty-four million, five hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 349 698 1047 1396 2094 2792 4188 5584 8376 15791 16752 31582 47373 63164 94746 126328 189492 252656 378984 757968 5511059 11022118 16533177 22044236 33066354 44088472 66132708 88176944 132265416 264530832