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54891045 = 32511217593
BaseRepresentation
bin1101000101100…
…1001000100101
310211021202100200
43101121020211
5103023003140
65240301113
71234365126
oct321311045
9124252320
1054891045
1128a91500
1216471799
13b4ab711
14740c04d
154c44030
hex3459225

54891045 has 72 divisors (see below), whose sum is σ = 110918808. Its totient is φ = 25006080.

The previous prime is 54891043. The next prime is 54891047. The reversal of 54891045 is 54019845.

54891045 is a `hidden beast` number, since 548 + 9 + 104 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (54891043) and next prime (54891047).

It can be written as a sum of positive squares in 4 ways, for example, as 13905441 + 40985604 = 3729^2 + 6402^2 .

It is not a de Polignac number, because 54891045 - 21 = 54891043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54891043) 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 71 ways as a sum of consecutive naturals, for example, 92269 + ... + 92861.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 254891045 is an apocalyptic number.

54891045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54891045 is an abundant number, since it is smaller than the sum of its proper divisors (56027763).

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

54891045 is a wasteful number, since it uses less digits than its factorization.

54891045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 54891045 is about 7408.8491009063. The cubic root of 54891045 is about 380.0439584419.

The spelling of 54891045 in words is "fifty-four million, eight hundred ninety-one thousand, forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 121 153 165 187 255 363 495 561 593 605 765 935 1089 1683 1779 1815 2057 2805 2965 5337 5445 6171 6523 8415 8895 10081 10285 18513 19569 26685 30243 30855 32615 50405 58707 71753 90729 92565 97845 110891 151215 215259 293535 332673 358765 453645 554455 645777 998019 1076295 1219801 1663365 3228885 3659403 4990095 6099005 10978209 18297015 54891045