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54057168 = 24321134127
BaseRepresentation
bin1100111000110…
…1100011010000
310202201101111100
43032031203100
5102314312133
65210344400
71224323034
oct316154320
9122641440
1054057168
1128571a50
121612b100
13b278cb9
1472721c4
154b2be13
hex338d8d0

54057168 has 60 divisors (see below), whose sum is σ = 165043008. Its totient is φ = 16380480.

The previous prime is 54057151. The next prime is 54057173. The reversal of 54057168 is 86175045.

54057168 is a `hidden beast` number, since 540 + 57 + 1 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15480 + ... + 18647.

Almost surely, 254057168 is an apocalyptic number.

It is an amenable number.

54057168 is an abundant number, since it is smaller than the sum of its proper divisors (110985840).

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

54057168 is a wasteful number, since it uses less digits than its factorization.

54057168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34152 (or 34143 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54057168 is about 7352.3579891080. The cubic root of 54057168 is about 378.1096515683.

The spelling of 54057168 in words is "fifty-four million, fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 34127 68254 102381 136508 204762 273016 307143 375397 409524 546032 614286 750794 819048 1126191 1228572 1501588 1638096 2252382 2457144 3003176 3378573 4504764 4914288 6006352 6757146 9009528 13514292 18019056 27028584 54057168