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54055368 = 2332750769
BaseRepresentation
bin1100111000110…
…1000111001000
310202201022000200
43032031013020
5102314232433
65210332200
71224314553
oct316150710
9122638020
1054055368
1128570664
121612a060
13b278233
14727169a
154b2b613
hex338d1c8

54055368 has 24 divisors (see below), whose sum is σ = 146400150. Its totient is φ = 18018432.

The previous prime is 54055367. The next prime is 54055369. The reversal of 54055368 is 86355045.

54055368 is a `hidden beast` number, since 5 + 40 + 553 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (54055367) and next prime (54055369).

It can be written as a sum of positive squares in only one way, i.e., 53319204 + 736164 = 7302^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54055363) 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, 375313 + ... + 375456.

Almost surely, 254055368 is an apocalyptic number.

It is an amenable number.

54055368 is an abundant number, since it is smaller than the sum of its proper divisors (92344782).

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

54055368 is a wasteful number, since it uses less digits than its factorization.

54055368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750781 (or 750774 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 54055368 is about 7352.2355783802. The cubic root of 54055368 is about 378.1054547464.

The spelling of 54055368 in words is "fifty-four million, fifty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 750769 1501538 2252307 3003076 4504614 6006152 6756921 9009228 13513842 18018456 27027684 54055368