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92924 = 22131787
BaseRepresentation
bin10110101011111100
311201110122
4112223330
510433144
61554112
7534626
oct265374
9151418
1092924
11638a7
1245938
13333b0
1425c16
151c7ee
hex16afc

92924 has 12 divisors (see below), whose sum is σ = 175224. Its totient is φ = 42864.

The previous prime is 92921. The next prime is 92927. The reversal of 92924 is 42929.

It is an interprime number because it is at equal distance from previous prime (92921) and next prime (92927).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 92 + 2 + 95 + 215 + 45 .

It is a junction number, because it is equal to n+sod(n) for n = 92893 and 92902.

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 92924.

It is not an unprimeable number, because it can be changed into a prime (92921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 842 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (14602).

292924 is an apocalyptic number.

It is an amenable number.

92924 is a deficient number, since it is larger than the sum of its proper divisors (82300).

92924 is a wasteful number, since it uses less digits than its factorization.

92924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 92924 is about 304.8343812630. The cubic root of 92924 is about 45.2942040286.

The spelling of 92924 in words is "ninety-two thousand, nine hundred twenty-four".

Divisors: 1 2 4 13 26 52 1787 3574 7148 23231 46462 92924