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53311072 = 253161881
BaseRepresentation
bin1100101101011…
…1011001100000
310201022111001011
43023113121200
5102121423242
65142350304
71215064603
oct313273140
9121274034
1053311072
1128102441
1215a2b394
13b077519
14711a33a
154a30d17
hex32d7660

53311072 has 48 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 25344000.

The previous prime is 53311021. The next prime is 53311081. The reversal of 53311072 is 27011335.

53311072 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 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 7 ways as a sum of consecutive naturals, for example, 60072 + ... + 60952.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 253311072 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 53311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

53311072 is an abundant number, since it is smaller than the sum of its proper divisors (56931872).

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

53311072 is a wasteful number, since it uses less digits than its factorization.

53311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 53311072 is about 7301.4431450228. The cubic root of 53311072 is about 376.3620324723.

The spelling of 53311072 in words is "fifty-three million, three hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 244 248 488 496 881 976 992 1762 1891 1952 3524 3782 7048 7564 14096 15128 27311 28192 30256 53741 54622 60512 107482 109244 214964 218488 429928 436976 859856 873952 1665971 1719712 3331942 6663884 13327768 26655536 53311072