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54544968 = 2333673769
BaseRepresentation
bin1101000000010…
…0101001001000
310210122011122000
43100010221020
5102430414333
65225031000
71231424142
oct320045110
9123564560
1054544968
1128875495
1216325460
13b3ba03a
14735bc92
154bc6713
hex3404a48

54544968 has 64 divisors (see below), whose sum is σ = 153816000. Its totient is φ = 17905536.

The previous prime is 54544967. The next prime is 54544981. The reversal of 54544968 is 86944545.

54544968 is a `hidden beast` number, since 545 + 4 + 49 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (54544961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12588 + ... + 16356.

It is an arithmetic number, because the mean of its divisors is an integer number (2403375).

Almost surely, 254544968 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 54544968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76908000).

54544968 is an abundant number, since it is smaller than the sum of its proper divisors (99271032).

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

54544968 is a wasteful number, since it uses less digits than its factorization.

54544968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3841 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 54544968 is about 7385.4565194035. The cubic root of 54544968 is about 379.2435737462.

The spelling of 54544968 in words is "fifty-four million, five hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 3769 4824 7236 7538 11307 14472 15076 22614 30152 33921 45228 67842 90456 101763 135684 203526 252523 271368 407052 505046 757569 814104 1010092 1515138 2020184 2272707 3030276 4545414 6060552 6818121 9090828 13636242 18181656 27272484 54544968