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77113696 = 2511733001
BaseRepresentation
bin1001001100010…
…10100101100000
312101002210002211
410212022211200
5124220114241
611352451504
71624312162
oct446124540
9171083084
1077113696
113a58a730
12219a9b94
1312c8c70a
14a354932
156b83781
hex498a960

77113696 has 48 divisors (see below), whose sum is σ = 167943888. Its totient is φ = 34560000.

The previous prime is 77113693. The next prime is 77113703. The reversal of 77113696 is 69631177.

It is a happy number.

It is a super-2 number, since 2×771136962 = 11893044221560832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77113691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24196 + ... + 27196.

It is an arithmetic number, because the mean of its divisors is an integer number (3498831).

Almost surely, 277113696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77113696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83971944).

77113696 is an abundant number, since it is smaller than the sum of its proper divisors (90830192).

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

77113696 is a wasteful number, since it uses less digits than its factorization.

77113696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3087 counting only the distinct ones).

The product of its digits is 47628, while the sum is 40.

The square root of 77113696 is about 8781.4404285402. The cubic root of 77113696 is about 425.6413771557.

The spelling of 77113696 in words is "seventy-seven million, one hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 2336 3001 3212 6002 6424 12004 12848 24008 25696 33011 48016 66022 96032 132044 219073 264088 438146 528176 876292 1056352 1752584 2409803 3505168 4819606 7010336 9639212 19278424 38556848 77113696