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54245664 = 25321117123
BaseRepresentation
bin1100111011101…
…1100100100000
310210001222001200
43032323210200
5102341330124
65214401200
71226036424
oct316734440
9123058050
1054245664
1128690630
1216200200
13b313a35
1472c0b84
154b67bc9
hex33bb920

54245664 has 72 divisors (see below), whose sum is σ = 168294672. Its totient is φ = 16437120.

The previous prime is 54245647. The next prime is 54245677. The reversal of 54245664 is 46654245.

54245664 is a `hidden beast` number, since 542 + 4 + 56 + 64 = 666.

54245664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5394 + ... + 11729.

It is an arithmetic number, because the mean of its divisors is an integer number (2337426).

Almost surely, 254245664 is an apocalyptic number.

It is an amenable number.

54245664 is an abundant number, since it is smaller than the sum of its proper divisors (114049008).

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

54245664 is a wasteful number, since it uses less digits than its factorization.

54245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17150 (or 17139 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 54245664 is about 7365.1655785868. The cubic root of 54245664 is about 378.5486280458.

The spelling of 54245664 in words is "fifty-four million, two hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 17123 34246 51369 68492 102738 136984 154107 188353 205476 273968 308214 376706 410952 547936 565059 616428 753412 821904 1130118 1232856 1506824 1643808 1695177 2260236 2465712 3013648 3390354 4520472 4931424 6027296 6780708 9040944 13561416 18081888 27122832 54245664