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53380964 = 22713532767
BaseRepresentation
bin1100101110100…
…0011101100100
310201110000220202
43023220131210
5102131142324
65144050032
71215505430
oct313503544
9121400822
1053380964
112814a9aa
1215a63918
13b0a0290
1471379c0
154a468ae
hex32e8764

53380964 has 48 divisors (see below), whose sum is σ = 117186048. Its totient is φ = 20711808.

The previous prime is 53380963. The next prime is 53380979. The reversal of 53380964 is 46908335.

53380964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53380963) 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, 17909 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (2441376).

Almost surely, 253380964 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 53380964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58593024).

53380964 is an abundant number, since it is smaller than the sum of its proper divisors (63805084).

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

53380964 is a wasteful number, since it uses less digits than its factorization.

53380964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 53380964 is about 7306.2277544572. The cubic root of 53380964 is about 376.5264336445.

The spelling of 53380964 in words is "fifty-three million, three hundred eighty thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1378 1484 2756 2767 4823 5534 9646 11068 19292 19369 35971 38738 71942 77476 143884 146651 251797 293302 503594 586604 1007188 1026557 1906463 2053114 3812926 4106228 7625852 13345241 26690482 53380964