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42637632 = 2631713063
BaseRepresentation
bin1010001010100…
…1100101000000
32222020012211120
42202221211000
541403401012
64121512240
71025261652
oct242514500
988205746
1042637632
1122082314
1212342680
138aab28b
14593c6d2
153b2358c
hex28a9940

42637632 has 56 divisors (see below), whose sum is σ = 119457216. Its totient is φ = 13375488.

The previous prime is 42637619. The next prime is 42637633. The reversal of 42637632 is 23673624.

It is a junction number, because it is equal to n+sod(n) for n = 42637593 and 42637602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42637633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3268 + ... + 9795.

Almost surely, 242637632 is an apocalyptic number.

It is an amenable number.

42637632 is an abundant number, since it is smaller than the sum of its proper divisors (76819584).

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

42637632 is a wasteful number, since it uses less digits than its factorization.

42637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13085 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 42637632 is about 6529.7497654964. The cubic root of 42637632 is about 349.3529050408.

The spelling of 42637632 in words is "forty-two million, six hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 13063 26126 39189 52252 78378 104504 156756 209008 222071 313512 418016 444142 627024 666213 836032 888284 1254048 1332426 1776568 2508096 2664852 3553136 5329704 7106272 10659408 14212544 21318816 42637632