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92088 = 23321279
BaseRepresentation
bin10110011110111000
311200022200
4112132320
510421323
61550200
7532323
oct263670
9150280
1092088
1163207
1245360
1332bb9
14257ba
151c443
hex167b8

92088 has 24 divisors (see below), whose sum is σ = 249600. Its totient is φ = 30672.

The previous prime is 92083. The next prime is 92107. The reversal of 92088 is 88029.

It is a tau number, because it is divible by the number of its divisors (24).

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 92088.

It is not an unprimeable number, because it can be changed into a prime (92083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (10400).

292088 is an apocalyptic number.

It is an amenable number.

92088 is an abundant number, since it is smaller than the sum of its proper divisors (157512).

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

92088 is a wasteful number, since it uses less digits than its factorization.

92088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 92088 is about 303.4600467936. The cubic root of 92088 is about 45.1579633713.

It can be divided in two parts, 9208 and 8, that added together give a square (9216 = 962).

The spelling of 92088 in words is "ninety-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1279 2558 3837 5116 7674 10232 11511 15348 23022 30696 46044 92088