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92442 = 2373171
BaseRepresentation
bin10110100100011010
311200210210
4112210122
510424232
61551550
7533340
oct264432
9150723
1092442
11634a9
12455b6
13330cc
1425990
151c5cc
hex1691a

92442 has 32 divisors (see below), whose sum is σ = 221184. Its totient is φ = 25200.

The previous prime is 92431. The next prime is 92459. The reversal of 92442 is 24429.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92442.

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, 1267 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

292442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110592).

92442 is an abundant number, since it is smaller than the sum of its proper divisors (128742).

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

92442 is a wasteful number, since it uses less digits than its factorization.

92442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its digits is 576, while the sum is 21.

The square root of 92442 is about 304.0427601506. The cubic root of 92442 is about 45.2157540302.

The spelling of 92442 in words is "ninety-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 71 93 142 186 213 217 426 434 497 651 994 1302 1491 2201 2982 4402 6603 13206 15407 30814 46221 92442