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53055268 = 22729223293
BaseRepresentation
bin1100101001100…
…0111100100100
310200211111010221
43022120330210
5102040232033
65133054124
71212651040
oct312307444
9120744127
1053055268
1127a48232
1215927344
13acb7c66
147091020
1549d012d
hex3298f24

53055268 has 48 divisors (see below), whose sum is σ = 110638080. Its totient is φ = 21780864.

The previous prime is 53055257. The next prime is 53055269. The reversal of 53055268 is 86255035.

It is a happy number.

It is a super-2 number, since 2×530552682 = 5629722925103648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53055269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180930 + ... + 181222.

It is an arithmetic number, because the mean of its divisors is an integer number (2304960).

Almost surely, 253055268 is an apocalyptic number.

53055268 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53055268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55319040).

53055268 is an abundant number, since it is smaller than the sum of its proper divisors (57582812).

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

53055268 is a wasteful number, since it uses less digits than its factorization.

53055268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 53055268 is about 7283.9047220567. The cubic root of 53055268 is about 375.7590976113.

The spelling of 53055268 in words is "fifty-three million, fifty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 223 293 406 446 586 812 892 1172 1561 2051 3122 4102 6244 6467 8204 8497 12934 16994 25868 33988 45269 59479 65339 90538 118958 130678 181076 237916 261356 457373 914746 1829492 1894831 3789662 7579324 13263817 26527634 53055268