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55972134 = 23541532
BaseRepresentation
bin1101010110000…
…1000100100110
310220022200100000
43111201010212
5103312102014
65315402130
71246520031
oct325410446
9126280300
1055972134
112965a769
12168b3346
13b79980a
147610018
154da9509
hex3561126

55972134 has 72 divisors (see below), whose sum is σ = 131308632. Its totient is φ = 17858880.

The previous prime is 55972121. The next prime is 55972139. The reversal of 55972134 is 43127955.

55972134 is a `hidden beast` number, since 559 + 72 + 1 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55972139) 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 35 ways as a sum of consecutive naturals, for example, 1056052 + ... + 1056104.

It is an arithmetic number, because the mean of its divisors is an integer number (1823731).

Almost surely, 255972134 is an apocalyptic number.

55972134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55972134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65654316).

55972134 is an abundant number, since it is smaller than the sum of its proper divisors (75336498).

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

55972134 is an equidigital number, since it uses as much as digits as its factorization.

55972134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 99 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 55972134 is about 7481.4526664278. The cubic root of 55972134 is about 382.5227668110.

The spelling of 55972134 in words is "fifty-five million, nine hundred seventy-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 53 54 81 82 106 123 159 162 243 246 318 369 477 486 738 954 1107 1431 2173 2214 2809 2862 3321 4293 4346 5618 6519 6642 8427 8586 9963 12879 13038 16854 19557 19926 25281 25758 39114 50562 58671 75843 115169 117342 151686 176013 227529 230338 345507 352026 455058 528039 682587 691014 1036521 1056078 1365174 2073042 3109563 6219126 9328689 18657378 27986067 55972134