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77136768 = 273266959
BaseRepresentation
bin1001001100100…
…00001110000000
312101010221202100
410212100032000
5124221334033
611353150400
71624436352
oct446201600
9171127670
1077136768
113a5a5aa5
12219bb400
1312c9a077
14a35d0d2
156b8a513
hex4990380

77136768 has 48 divisors (see below), whose sum is σ = 221972400. Its totient is φ = 25711872.

The previous prime is 77136767. The next prime is 77136791. The reversal of 77136768 is 86763177.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77136767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32328 + ... + 34631.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 277136768 is an apocalyptic number.

It is an amenable number.

77136768 is an abundant number, since it is smaller than the sum of its proper divisors (144835632).

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

77136768 is a wasteful number, since it uses less digits than its factorization.

77136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66979 (or 66964 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 77136768 is about 8782.7540099903. The cubic root of 77136768 is about 425.6838227873.

The spelling of 77136768 in words is "seventy-seven million, one hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 66959 133918 200877 267836 401754 535672 602631 803508 1071344 1205262 1607016 2142688 2410524 3214032 4285376 4821048 6428064 8570752 9642096 12856128 19284192 25712256 38568384 77136768