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42536516 = 221117194173
BaseRepresentation
bin1010001001000…
…0111001000100
32222001002010112
42202100321010
541342132031
64115412152
71024361111
oct242207104
988032115
1042536516
1122013350
12122b4058
138a74249
145913908
153b0362b
hex2890e44

42536516 has 96 divisors (see below), whose sum is σ = 93985920. Its totient is φ = 16588800.

The previous prime is 42536509. The next prime is 42536519. The reversal of 42536516 is 61563524.

It is not an unprimeable number, because it can be changed into a prime (42536519) 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, 582656 + ... + 582728.

It is an arithmetic number, because the mean of its divisors is an integer number (979020).

Almost surely, 242536516 is an apocalyptic number.

It is an amenable number.

42536516 is an abundant number, since it is smaller than the sum of its proper divisors (51449404).

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

42536516 is a wasteful number, since it uses less digits than its factorization.

42536516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 42536516 is about 6522.0024532347. The cubic root of 42536516 is about 349.0765206332.

Subtracting from 42536516 its sum of digits (32), we obtain a square (42536484 = 65222).

The spelling of 42536516 in words is "forty-two million, five hundred thirty-six thousand, five hundred sixteen".

Divisors: 1 2 4 11 17 19 22 34 38 41 44 68 73 76 82 146 164 187 209 292 323 374 418 451 646 697 748 779 803 836 902 1241 1292 1387 1394 1558 1606 1804 2482 2774 2788 2993 3116 3212 3553 4964 5548 5986 7106 7667 8569 11972 13243 13651 14212 15257 15334 17138 23579 26486 27302 30514 30668 32923 34276 47158 50881 52972 54604 56867 61028 65846 94316 101762 113734 131692 145673 203524 227468 259369 291346 518738 559691 582692 625537 966739 1037476 1119382 1251074 1933478 2238764 2502148 3866956 10634129 21268258 42536516