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86744768 = 2611123217
BaseRepresentation
bin1010010101110…
…01111011000000
320001020002110012
411022321323000
5134201313033
612335124052
72102214125
oct512717300
9201202405
1086744768
1144a686a0
1225073628
1314c82386
14b74074c
157937248
hex52b9ec0

86744768 has 28 divisors (see below), whose sum is σ = 187784232. Its totient is φ = 39429120.

The previous prime is 86744731. The next prime is 86744797.

86744768 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60905 + ... + 62312.

Almost surely, 286744768 is an apocalyptic number.

86744768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86744768 is an abundant number, since it is smaller than the sum of its proper divisors (101039464).

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

86744768 is a wasteful number, since it uses less digits than its factorization.

86744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123240 (or 123230 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The square root of 86744768 is about 9313.6871323875. The cubic root of 86744768 is about 442.6710254244.

The spelling of 86744768 in words is "eighty-six million, seven hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 123217 246434 492868 985736 1355387 1971472 2710774 3942944 5421548 7885888 10843096 21686192 43372384 86744768