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53165312 = 28972141
BaseRepresentation
bin1100101011001…
…1110100000000
310201001002002122
43022303310000
5102102242222
65135303412
71213616624
oct312636400
9121032078
1053165312
1128012982
121597ab68
13b026085
1470bd184
154a02a42
hex32b3d00

53165312 has 36 divisors (see below), whose sum is σ = 107267076. Its totient is φ = 26296320.

The previous prime is 53165293. The next prime is 53165317. The reversal of 53165312 is 21356135.

It can be written as a sum of positive squares in 2 ways, for example, as 39740416 + 13424896 = 6304^2 + 3664^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53165317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23762 + ... + 25902.

It is an arithmetic number, because the mean of its divisors is an integer number (2979641).

Almost surely, 253165312 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 53165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53633538).

53165312 is an abundant number, since it is smaller than the sum of its proper divisors (54101764).

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

53165312 is an equidigital number, since it uses as much as digits as its factorization.

53165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2240 counting only the distinct ones).

The product of its digits is 2700, while the sum is 26.

The square root of 53165312 is about 7291.4547245389. The cubic root of 53165312 is about 376.0187104014.

The spelling of 53165312 in words is "fifty-three million, one hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 2141 3104 4282 6208 8564 12416 17128 24832 34256 68512 137024 207677 274048 415354 548096 830708 1661416 3322832 6645664 13291328 26582656 53165312