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53765964 = 2233771119
BaseRepresentation
bin1100110100011…
…0011101001100
310202011121001000
43031012131030
5102231002324
65200220300
71222001040
oct315063514
9122147030
1053765964
112839318a
121600a690
13b1a65a5
1471d8020
154ac09c9
hex334674c

53765964 has 48 divisors (see below), whose sum is σ = 159308800. Its totient is φ = 15361488.

The previous prime is 53765963. The next prime is 53765981. The reversal of 53765964 is 46956735.

53765964 is a `hidden beast` number, since 53 + 7 + 6 + 596 + 4 = 666.

53765964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53765963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34804 + ... + 36315.

Almost surely, 253765964 is an apocalyptic number.

53765964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53765964 is an abundant number, since it is smaller than the sum of its proper divisors (105542836).

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

53765964 is a wasteful number, since it uses less digits than its factorization.

53765964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71139 (or 71131 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 53765964 is about 7332.5278042432. The cubic root of 53765964 is about 377.4294744206.

The spelling of 53765964 in words is "fifty-three million, seven hundred sixty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 71119 142238 213357 284476 426714 497833 640071 853428 995666 1280142 1493499 1920213 1991332 2560284 2986998 3840426 4480497 5973996 7680852 8960994 13441491 17921988 26882982 53765964