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54882864 = 24322571483
BaseRepresentation
bin1101000101011…
…1001000110000
310211021100010200
43101113020300
5103022222424
65240155200
71234332231
oct321271060
9124240120
1054882864
1128a86343
1216468b00
13b4a7a8a
147409088
154c418c9
hex3457230

54882864 has 60 divisors (see below), whose sum is σ = 154297416. Its totient is φ = 18210816.

The previous prime is 54882799. The next prime is 54882869. The reversal of 54882864 is 46828845.

It is not an unprimeable number, because it can be changed into a prime (54882869) 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 11 ways as a sum of consecutive naturals, for example, 36267 + ... + 37749.

Almost surely, 254882864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54882864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77148708).

54882864 is an abundant number, since it is smaller than the sum of its proper divisors (99414552).

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

54882864 is a wasteful number, since it uses less digits than its factorization.

54882864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1745 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 54882864 is about 7408.2969702895. The cubic root of 54882864 is about 380.0250768308.

The spelling of 54882864 in words is "fifty-four million, eight hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1483 1542 2056 2313 2966 3084 4112 4449 4626 5932 6168 8898 9252 11864 12336 13347 17796 18504 23728 26694 35592 37008 53388 71184 106776 213552 381131 762262 1143393 1524524 2286786 3049048 3430179 4573572 6098096 6860358 9147144 13720716 18294288 27441432 54882864