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92936161 = 1740113633
BaseRepresentation
bin1011000101000…
…01011111100001
320110212122110001
411202201133201
5142242424121
613115540001
72205641623
oct542413741
9213778401
1092936161
114850734a
122715a601
131633c516
14c4b2c13
15825b991
hex58a17e1

92936161 has 8 divisors (see below), whose sum is σ = 98655624. Its totient is φ = 87244800.

The previous prime is 92936147. The next prime is 92936177. The reversal of 92936161 is 16163929.

92936161 is a nontrivial binomial coefficient, being equal to C(13634, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 64899136 + 28037025 = 8056^2 + 5295^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(92936161) divides (92936161-1)3.

It is a cyclic number.

It is not a de Polignac number, because 92936161 - 29 = 92935649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 92936161.

It is not an unprimeable number, because it can be changed into a prime (92936101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 13633.

It is an arithmetic number, because the mean of its divisors is an integer number (12331953).

Almost surely, 292936161 is an apocalyptic number.

92936161 is the 13633-rd triangular number and also the 6817-th hexagonal number.

92936161 is the 4545-th centered nonagonal number.

It is an amenable number.

92936161 is a deficient number, since it is larger than the sum of its proper divisors (5719463).

92936161 is a wasteful number, since it uses less digits than its factorization.

92936161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14051.

The product of its digits is 17496, while the sum is 37.

The square root of 92936161 is about 9640.3402948236. The cubic root of 92936161 is about 452.9617983239.

The spelling of 92936161 in words is "ninety-two million, nine hundred thirty-six thousand, one hundred sixty-one".

Divisors: 1 17 401 6817 13633 231761 5466833 92936161