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54877968 = 2432381097
BaseRepresentation
bin1101000101010…
…1111100010000
310211021002102100
43101111330100
5103022043333
65240120400
71234312035
oct321257420
9124232370
1054877968
1128a826a2
1216466100
13b4a5792
14740738c
154c40213
hex3455f10

54877968 has 30 divisors (see below), whose sum is σ = 153582494. Its totient is φ = 18292608.

The previous prime is 54877961. The next prime is 54877997. The reversal of 54877968 is 86977845.

54877968 is a `hidden beast` number, since 548 + 7 + 7 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 9072144 = 6768^2 + 3012^2 .

It is not an unprimeable number, because it can be changed into a prime (54877961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190405 + ... + 190692.

Almost surely, 254877968 is an apocalyptic number.

It is an amenable number.

54877968 is an abundant number, since it is smaller than the sum of its proper divisors (98704526).

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

54877968 is a wasteful number, since it uses less digits than its factorization.

54877968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381111 (or 381102 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 54877968 is about 7407.9665226025. The cubic root of 54877968 is about 380.0137760472.

The spelling of 54877968 in words is "fifty-four million, eight hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 381097 762194 1143291 1524388 2286582 3048776 3429873 4573164 6097552 6859746 9146328 13719492 18292656 27438984 54877968