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54576768 = 273311457
BaseRepresentation
bin1101000000110…
…0011010000000
310210200210020210
43100030122000
5102432424033
65225434120
71231615641
oct320143200
9123623223
1054576768
1128897374
121633b940
13b3cb65c
1473696c8
154bd0d63
hex340c680

54576768 has 64 divisors (see below), whose sum is σ = 145753920. Its totient is φ = 18094080.

The previous prime is 54576737. The next prime is 54576791. The reversal of 54576768 is 86767545.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119196 + ... + 119652.

It is an arithmetic number, because the mean of its divisors is an integer number (2277405).

Almost surely, 254576768 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 54576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72876960).

54576768 is an abundant number, since it is smaller than the sum of its proper divisors (91177152).

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

54576768 is a wasteful number, since it uses less digits than its factorization.

54576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 54576768 is about 7387.6090854890. The cubic root of 54576768 is about 379.3172597535.

The spelling of 54576768 in words is "fifty-four million, five hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 457 622 914 933 1244 1371 1828 1866 2488 2742 3656 3732 4976 5484 7312 7464 9952 10968 14624 14928 19904 21936 29248 29856 39808 43872 58496 59712 87744 119424 142127 175488 284254 426381 568508 852762 1137016 1705524 2274032 3411048 4548064 6822096 9096128 13644192 18192256 27288384 54576768