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42497832 = 233131967107
BaseRepresentation
bin1010001000011…
…1011100101000
32221222010001210
42202013130220
541334412312
64114513120
71024140246
oct242073450
987863053
1042497832
1121a97283
12122957a0
138a5c760
145903796
153ae6e3c
hex2887728

42497832 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12089088.

The previous prime is 42497821. The next prime is 42497837. The reversal of 42497832 is 23879424.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42497837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397123 + ... + 397229.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 242497832 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 42497832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

42497832 is an abundant number, since it is smaller than the sum of its proper divisors (80881368).

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

42497832 is a wasteful number, since it uses less digits than its factorization.

42497832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 42497832 is about 6519.0361250725. The cubic root of 42497832 is about 348.9706682738.

The spelling of 42497832 in words is "forty-two million, four hundred ninety-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 67 76 78 104 107 114 134 152 156 201 214 228 247 268 312 321 402 428 456 494 536 642 741 804 856 871 988 1273 1284 1391 1482 1608 1742 1976 2033 2546 2568 2613 2782 2964 3484 3819 4066 4173 5092 5226 5564 5928 6099 6968 7169 7638 8132 8346 10184 10452 11128 12198 14338 15276 16264 16549 16692 20904 21507 24396 26429 28676 30552 33098 33384 43014 48792 49647 52858 57352 66196 79287 86028 93197 99294 105716 132392 136211 158574 172056 186394 198588 211432 272422 279591 317148 372788 397176 408633 544844 559182 634296 745576 817266 1089688 1118364 1634532 1770743 2236728 3269064 3541486 5312229 7082972 10624458 14165944 21248916 42497832