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54828864 = 263295189
BaseRepresentation
bin1101000100100…
…1111101000000
310211011121001200
43101021331000
5103014010424
65235101200
71234015626
oct321117500
9124147050
1054828864
1128a49812
1216441800
13b48931c
1473d3516
154c308c9
hex3449f40

54828864 has 42 divisors (see below), whose sum is σ = 157158690. Its totient is φ = 18276096.

The previous prime is 54828817. The next prime is 54828911. The reversal of 54828864 is 46882845.

54828864 is a `hidden beast` number, since 548 + 28 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54828817) and next prime (54828911).

It can be written as a sum of positive squares in only one way, i.e., 40449600 + 14379264 = 6360^2 + 3792^2 .

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 47019 + ... + 48170.

Almost surely, 254828864 is an apocalyptic number.

It is an amenable number.

54828864 is an abundant number, since it is smaller than the sum of its proper divisors (102329826).

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

54828864 is a wasteful number, since it uses less digits than its factorization.

54828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95207 (or 95194 counting only the distinct ones).

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

The square root of 54828864 is about 7404.6515110436. The cubic root of 54828864 is about 379.9003986420.

The spelling of 54828864 in words is "fifty-four million, eight hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 95189 190378 285567 380756 571134 761512 856701 1142268 1523024 1713402 2284536 3046048 3426804 4569072 6092096 6853608 9138144 13707216 18276288 27414432 54828864