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92274 = 237133
BaseRepresentation
bin10110100001110010
311200120120
4112201302
510423044
61551110
7533010
oct264162
9150516
1092274
1163366
1245496
1333000
14258b0
151c519
hex16872

92274 has 32 divisors (see below), whose sum is σ = 228480. Its totient is φ = 24336.

The previous prime is 92269. The next prime is 92297. The reversal of 92274 is 47229.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 95 + 2 + 25 + 75 + 47 .

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92274.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7092 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

292274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114240).

92274 is an abundant number, since it is smaller than the sum of its proper divisors (136206).

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

92274 is a wasteful number, since it uses less digits than its factorization.

92274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 25 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 92274 is about 303.7663575842. The cubic root of 92274 is about 45.1883463835.

The spelling of 92274 in words is "ninety-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 2197 2366 3549 4394 6591 7098 13182 15379 30758 46137 92274