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92252132 = 227172941163
BaseRepresentation
bin1010111111110…
…10011111100100
320102120220010122
411133322133210
5142104032012
613053141112
72200062440
oct537723744
9212526118
1092252132
114808a435
1226a8a798
131616007b
14c375820
158173e72
hex57fa7e4

92252132 has 96 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 34836480.

The previous prime is 92252131. The next prime is 92252143. The reversal of 92252132 is 23125229.

It is not an unprimeable number, because it can be changed into a prime (92252131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565883 + ... + 566045.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 292252132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92252132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

92252132 is an abundant number, since it is smaller than the sum of its proper divisors (116040988).

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

92252132 is a wasteful number, since it uses less digits than its factorization.

92252132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 92252132 is about 9604.7973429948. The cubic root of 92252132 is about 451.8477637524.

The spelling of 92252132 in words is "ninety-two million, two hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 29 34 41 58 68 82 116 119 163 164 203 238 287 326 406 476 493 574 652 697 812 986 1141 1148 1189 1394 1972 2282 2378 2771 2788 3451 4564 4727 4756 4879 5542 6683 6902 8323 9454 9758 11084 13366 13804 16646 18908 19397 19516 20213 26732 33089 33292 38794 40426 46781 66178 77588 80359 80852 93562 113611 132356 141491 160718 187124 193807 227222 282982 321436 387614 454444 562513 565964 775228 795277 1125026 1356649 1590554 2250052 2713298 3181108 3294719 5426596 6589438 13178876 23063033 46126066 92252132