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92394 = 2332959
BaseRepresentation
bin10110100011101010
311200202000
4112203222
510424034
61551430
7533241
oct264352
9150660
1092394
1163465
1245576
1333093
1425958
151c599
hex168ea

92394 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 29232.

The previous prime is 92387. The next prime is 92399. The reversal of 92394 is 49329.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92394.

It is not an unprimeable number, because it can be changed into a prime (92399) by changing a digit.

92394 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

292394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

92394 is an abundant number, since it is smaller than the sum of its proper divisors (123606).

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

92394 is a wasteful number, since it uses less digits than its factorization.

92394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 92394 is about 303.9638136358. The cubic root of 92394 is about 45.2079266648.

The spelling of 92394 in words is "ninety-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 59 87 118 174 177 261 354 522 531 783 1062 1566 1593 1711 3186 3422 5133 10266 15399 30798 46197 92394