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76268864 = 267170243
BaseRepresentation
bin1001000101111…
…00010101000000
312022111212012202
410202330111000
5124011100424
611322412332
71614163130
oct442742500
9168455182
1076268864
113a062a21
12216610a8
1312a55009
14a1b4ac0
156a682ae
hex48bc540

76268864 has 28 divisors (see below), whose sum is σ = 172967904. Its totient is φ = 32686464.

The previous prime is 76268833. The next prime is 76268893. The reversal of 76268864 is 46886267.

76268864 = T345 + T346 + ... + T792.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84674 + ... + 85569.

Almost surely, 276268864 is an apocalyptic number.

It is an amenable number.

76268864 is an abundant number, since it is smaller than the sum of its proper divisors (96699040).

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

76268864 is a wasteful number, since it uses less digits than its factorization.

76268864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170262 (or 170252 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 76268864 is about 8733.2046809862. The cubic root of 76268864 is about 424.0812707628.

The spelling of 76268864 in words is "seventy-six million, two hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 170243 340486 680972 1191701 1361944 2383402 2723888 4766804 5447776 9533608 10895552 19067216 38134432 76268864