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42431592 = 23371783179
BaseRepresentation
bin1010000111011…
…1010001101000
32221211202012110
42201313101220
541330302332
64113242320
71023443160
oct241672150
987752173
1042431592
1121a51535
12122633a0
138a38568
1458c75a0
153ad24cc
hex2877468

42431592 has 128 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 11209728.

The previous prime is 42431567. The next prime is 42431651. The reversal of 42431592 is 29513424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236959 + ... + 237137.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 242431592 is an apocalyptic number.

42431592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42431592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

42431592 is an abundant number, since it is smaller than the sum of its proper divisors (88205208).

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

42431592 is a wasteful number, since it uses less digits than its factorization.

42431592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 42431592 is about 6513.9536381525. The cubic root of 42431592 is about 348.7892642166.

The spelling of 42431592 in words is "forty-two million, four hundred thirty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 83 84 102 119 136 166 168 179 204 238 249 332 357 358 408 476 498 537 581 664 714 716 952 996 1074 1162 1253 1411 1428 1432 1743 1992 2148 2324 2506 2822 2856 3043 3486 3759 4233 4296 4648 5012 5644 6086 6972 7518 8466 9129 9877 10024 11288 12172 13944 14857 15036 16932 18258 19754 21301 24344 29631 29714 30072 33864 36516 39508 42602 44571 59262 59428 63903 73032 79016 85204 89142 103999 118524 118856 127806 170408 178284 207998 237048 252569 255612 311997 356568 415996 505138 511224 623994 757707 831992 1010276 1247988 1515414 1767983 2020552 2495976 3030828 3535966 5303949 6061656 7071932 10607898 14143864 21215796 42431592