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53979072 = 263740163
BaseRepresentation
bin1100110111101…
…0011111000000
310202120102100220
43031322133000
5102304312242
65204543040
71223546250
oct315723700
9122512326
1053979072
1128519304
12160b1a80
13b24c5a4
147251960
154b13bec
hex337a7c0

53979072 has 56 divisors (see below), whose sum is σ = 163226496. Its totient is φ = 15422208.

The previous prime is 53979071. The next prime is 53979109. The reversal of 53979072 is 27097935.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53979071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18738 + ... + 21425.

Almost surely, 253979072 is an apocalyptic number.

It is an amenable number.

53979072 is an abundant number, since it is smaller than the sum of its proper divisors (109247424).

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

53979072 is a wasteful number, since it uses less digits than its factorization.

53979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40185 (or 40175 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 53979072 is about 7347.0451203188. The cubic root of 53979072 is about 377.9274797189.

The spelling of 53979072 in words is "fifty-three million, nine hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 40163 80326 120489 160652 240978 281141 321304 481956 562282 642608 843423 963912 1124564 1285216 1686846 1927824 2249128 2570432 3373692 3855648 4498256 6747384 7711296 8996512 13494768 17993024 26989536 53979072