Search a number
-
+
92364 = 22343179
BaseRepresentation
bin10110100011001100
311200200220
4112203030
510423424
61551340
7533166
oct264314
9150626
1092364
1163438
1245550
133306c
1425936
151c579
hex168cc

92364 has 24 divisors (see below), whose sum is σ = 221760. Its totient is φ = 29904.

The previous prime is 92363. The next prime is 92369. The reversal of 92364 is 46329.

It is a super-2 number, since 2×923642 = 17062216992, which contains 22 as substring.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92364.

It is not an unprimeable number, because it can be changed into a prime (92363) 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, 427 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

292364 is an apocalyptic number.

It is an amenable number.

92364 is an abundant number, since it is smaller than the sum of its proper divisors (129396).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

92364 is a wasteful number, since it uses less digits than its factorization.

92364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 92364 is about 303.9144616500. The cubic root of 92364 is about 45.2030331846.

The spelling of 92364 in words is "ninety-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 43 86 129 172 179 258 358 516 537 716 1074 2148 7697 15394 23091 30788 46182 92364