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55057632 = 253781931
BaseRepresentation
bin1101001000000…
…1110011100000
310211121012212120
43102001303200
5103043321012
65244024240
71235660610
oct322016340
9124535776
1055057632
1129095683
1216532080
13b5394a6
147452a40
154c7858c
hex3481ce0

55057632 has 48 divisors (see below), whose sum is σ = 165174912. Its totient is φ = 15730560.

The previous prime is 55057627. The next prime is 55057657. The reversal of 55057632 is 23675055.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 55057593 and 55057602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40294 + ... + 41637.

It is an arithmetic number, because the mean of its divisors is an integer number (3441144).

Almost surely, 255057632 is an apocalyptic number.

It is an amenable number.

55057632 is an abundant number, since it is smaller than the sum of its proper divisors (110117280).

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

55057632 is a wasteful number, since it uses less digits than its factorization.

55057632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81951 (or 81943 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 55057632 is about 7420.0830184035. The cubic root of 55057632 is about 380.4280310746.

The spelling of 55057632 in words is "fifty-five million, fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 81931 163862 245793 327724 491586 573517 655448 983172 1147034 1310896 1720551 1966344 2294068 2621792 3441102 3932688 4588136 6882204 7865376 9176272 13764408 18352544 27528816 55057632