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42631524 = 223213711283
BaseRepresentation
bin1010001010100…
…0000101100100
32222012220110100
42202220011210
541403202044
64121424100
71025235105
oct242500544
988186410
1042631524
1122078771
121233b030
138aa8570
14593a3ac
153b21869
hex28a8164

42631524 has 72 divisors (see below), whose sum is σ = 117778752. Its totient is φ = 12922560.

The previous prime is 42631507. The next prime is 42631531. The reversal of 42631524 is 42513624.

42631524 is a `hidden beast` number, since 4 + 2 + 631 + 5 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32587 + ... + 33869.

It is an arithmetic number, because the mean of its divisors is an integer number (1635816).

Almost surely, 242631524 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 42631524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58889376).

42631524 is an abundant number, since it is smaller than the sum of its proper divisors (75147228).

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

42631524 is a wasteful number, since it uses less digits than its factorization.

42631524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1372 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42631524 is about 6529.2820432265. The cubic root of 42631524 is about 349.3362222080.

The spelling of 42631524 in words is "forty-two million, six hundred thirty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1283 1846 2556 2566 2769 3692 3849 5132 5538 7698 8307 11076 11547 15396 16614 16679 23094 33228 33358 46188 50037 66716 91093 100074 150111 182186 200148 273279 300222 364372 546558 600444 819837 1093116 1184209 1639674 2368418 3279348 3552627 4736836 7105254 10657881 14210508 21315762 42631524