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55188018 = 2321721032
BaseRepresentation
bin1101001010000…
…1101000110010
310211211211201200
43102201220302
5103112004033
65250512030
71240043004
oct322415062
9124754650
1055188018
1129174636
1216595616
13b583942
147488374
154ca2013
hex34a1a32

55188018 has 54 divisors (see below), whose sum is σ = 128266749. Its totient is φ = 17145792.

The previous prime is 55187983. The next prime is 55188031. The reversal of 55188018 is 81088155.

It can be written as a sum of positive squares in 2 ways, for example, as 50509449 + 4678569 = 7107^2 + 2163^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5253.

It is a Curzon number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 535755 + ... + 535857.

Almost surely, 255188018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55188018

55188018 is an abundant number, since it is smaller than the sum of its proper divisors (73078731).

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

55188018 is a wasteful number, since it uses less digits than its factorization.

55188018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 55188018 is about 7428.8638431459. The cubic root of 55188018 is about 380.7281007962.

Multiplying 55188018 by its product of nonzero digits (12800), we get a square (706406630400 = 8404802).

The spelling of 55188018 in words is "fifty-five million, one hundred eighty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 289 306 309 578 618 867 927 1734 1751 1854 2601 3502 5202 5253 10506 10609 15759 21218 29767 31518 31827 59534 63654 89301 95481 178602 180353 190962 267903 360706 535806 541059 1082118 1623177 3066001 3246354 6132002 9198003 18396006 27594009 55188018