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53465256 = 2332132392
BaseRepresentation
bin1100101111110…
…1000010101000
310201121022112200
43023331002220
5102141342011
65145540200
71216306245
oct313750250
9121538480
1053465256
11281a8269
1215aa4660
13b0cc760
14715a5cc
154a61856
hex32fd0a8

53465256 has 72 divisors (see below), whose sum is σ = 156595530. Its totient is φ = 16382016.

The previous prime is 53465233. The next prime is 53465281. The reversal of 53465256 is 65256435.

It is a happy number.

53465256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51408900 + 2056356 = 7170^2 + 1434^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53465256.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 223585 + ... + 223823.

Almost surely, 253465256 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 53465256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78297765).

53465256 is an abundant number, since it is smaller than the sum of its proper divisors (103130274).

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

53465256 is a wasteful number, since it uses less digits than its factorization.

53465256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 257 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 53465256 is about 7311.9939824921. The cubic root of 53465256 is about 376.7245159624.

The spelling of 53465256 in words is "fifty-three million, four hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 239 312 468 478 717 936 956 1434 1912 2151 2868 3107 4302 5736 6214 8604 9321 12428 17208 18642 24856 27963 37284 55926 57121 74568 111852 114242 171363 223704 228484 342726 456968 514089 685452 742573 1028178 1370904 1485146 2056356 2227719 2970292 4112712 4455438 5940584 6683157 8910876 13366314 17821752 26732628 53465256