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54977792 = 281989127
BaseRepresentation
bin1101000110111…
…0010100000000
310211110011100112
43101232110000
5103033242132
65242210452
71235206052
oct321562400
9124404315
1054977792
11290406a1
12164b3a28
13b50c04c
1474318d2
154c5eab2
hex346e500

54977792 has 72 divisors (see below), whose sum is σ = 117734400. Its totient is φ = 25546752.

The previous prime is 54977749. The next prime is 54977803. The reversal of 54977792 is 29777945.

It is a super-2 number, since 2×549777922 = 6045115226390528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54977792.

It is a congruent number.

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, 432833 + ... + 432959.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 254977792 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 54977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

54977792 is an abundant number, since it is smaller than the sum of its proper divisors (62756608).

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

54977792 is a wasteful number, since it uses less digits than its factorization.

54977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 50.

The square root of 54977792 is about 7414.7010728687. The cubic root of 54977792 is about 380.2440537500.

The spelling of 54977792 in words is "fifty-four million, nine hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 127 128 152 178 254 256 304 356 508 608 712 1016 1216 1424 1691 2032 2413 2432 2848 3382 4064 4826 4864 5696 6764 8128 9652 11303 11392 13528 16256 19304 22606 22784 27056 32512 38608 45212 54112 77216 90424 108224 154432 180848 214757 216448 308864 361696 429514 432896 617728 723392 859028 1446784 1718056 2893568 3436112 6872224 13744448 27488896 54977792