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92442714 = 23721319267
BaseRepresentation
bin1011000001010…
…01000001011010
320102221120120020
411200221001122
5142131131324
613101211310
72201515200
oct540510132
9212846506
1092442714
11481aa641
1226b60b36
13161c8a40
14c3c5070
1581b0679
hex582905a

92442714 has 144 divisors (see below), whose sum is σ = 248095008. Its totient is φ = 22752576.

The previous prime is 92442697. The next prime is 92442731. The reversal of 92442714 is 41724429.

It is an interprime number because it is at equal distance from previous prime (92442697) and next prime (92442731).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1379709 + ... + 1379775.

It is an arithmetic number, because the mean of its divisors is an integer number (1722882).

Almost surely, 292442714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92442714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124047504).

92442714 is an abundant number, since it is smaller than the sum of its proper divisors (155652294).

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

92442714 is a wasteful number, since it uses less digits than its factorization.

92442714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 92442714 is about 9614.7134122656. The cubic root of 92442714 is about 452.1587044181.

The spelling of 92442714 in words is "ninety-two million, four hundred forty-two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 49 57 67 78 91 98 114 133 134 147 182 201 247 266 273 294 361 399 402 469 494 546 637 722 741 798 871 931 938 1083 1273 1274 1407 1482 1729 1742 1862 1911 2166 2527 2546 2613 2793 2814 3283 3458 3819 3822 4693 5054 5187 5226 5586 6097 6566 7581 7638 8911 9386 9849 10374 12103 12194 14079 15162 16549 17689 17822 18291 19698 24187 24206 26733 28158 32851 33098 35378 36309 36582 42679 48374 49647 53067 53466 62377 65702 72561 72618 85358 98553 99294 106134 115843 124754 128037 145122 169309 187131 197106 229957 231686 256074 314431 338618 347529 374262 459914 507927 628862 689871 695058 810901 943293 1015854 1185163 1379742 1621802 1886586 2201017 2370326 2432703 3555489 4402034 4865406 6603051 7110978 13206102 15407119 30814238 46221357 92442714