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53956960 = 2551917749
BaseRepresentation
bin1100110111010…
…1000101100000
310202112022000221
43031311011200
5102303110320
65204252424
71223424631
oct315650540
9122468027
1053956960
1128503732
12160a1114
13b2424c5
147247888
154b0c3aa
hex3375160

53956960 has 48 divisors (see below), whose sum is σ = 134190000. Its totient is φ = 20445696.

The previous prime is 53956951. The next prime is 53956961. The reversal of 53956960 is 6965935.

It is a happy number.

It is a super-2 number, since 2×539569602 = 5822707064883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53956961) 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, 5835 + ... + 11914.

It is an arithmetic number, because the mean of its divisors is an integer number (2795625).

Almost surely, 253956960 is an apocalyptic number.

It is an amenable number.

53956960 is an abundant number, since it is smaller than the sum of its proper divisors (80233040).

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

53956960 is a wasteful number, since it uses less digits than its factorization.

53956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17783 (or 17775 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The square root of 53956960 is about 7345.5401435157. The cubic root of 53956960 is about 377.8758679030.

Subtracting from 53956960 its reverse (6965935), we obtain a square (46991025 = 68552).

The spelling of 53956960 in words is "fifty-three million, nine hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 17749 35498 70996 88745 141992 177490 283984 337231 354980 567968 674462 709960 1348924 1419920 1686155 2697848 2839840 3372310 5395696 6744620 10791392 13489240 26978480 53956960