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92313664 = 2612012
BaseRepresentation
bin1011000000010…
…01100001000000
320102201000112121
411200021201000
5142113014124
613054334024
72200440022
oct540114100
9212630477
1092313664
1148121693
1226aba314
1316182091
14c390012
1581872e4
hex5809840

92313664 has 21 divisors (see below), whose sum is σ = 183337581. Its totient is φ = 46118400.

The previous prime is 92313659. The next prime is 92313667. The reversal of 92313664 is 46631329.

It is a happy number.

The square root of 92313664 is 9608.

It is a perfect power (a square), and thus also a powerful number.

92313664 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 92160000 = 392^2 + 9600^2 .

It is a super-2 number, since 2×923136642 = 17043625122209792, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (92313667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 76264 + ... + 77464.

It is an arithmetic number, because the mean of its divisors is an integer number (8730361).

Almost surely, 292313664 is an apocalyptic number.

92313664 is the 9608-th square number.

It is an amenable number.

92313664 is a deficient number, since it is larger than the sum of its proper divisors (91023917).

92313664 is an frugal number, since it uses more digits than its factorization.

92313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 1203 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The cubic root of 92313664 is about 451.9482019636.

The spelling of 92313664 in words is "ninety-two million, three hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 1201 2402 4804 9608 19216 38432 76864 1442401 2884802 5769604 11539208 23078416 46156832 92313664