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53345296 = 2431131821
BaseRepresentation
bin1100101101111…
…1110000010000
310201101012222201
43023133300100
5102124022141
65143212544
71215266434
oct313376020
9121335881
1053345296
1128126124
1215a47154
13b089c84
1471289c4
154a3b031
hex32dfc10

53345296 has 40 divisors (see below), whose sum is σ = 107635968. Its totient is φ = 25584000.

The previous prime is 53345291. The next prime is 53345309. The reversal of 53345296 is 69254335.

53345296 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 (53345291) 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 7 ways as a sum of consecutive naturals, for example, 64566 + ... + 65386.

Almost surely, 253345296 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 53345296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53817984).

53345296 is an abundant number, since it is smaller than the sum of its proper divisors (54290672).

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

53345296 is a wasteful number, since it uses less digits than its factorization.

53345296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

The square root of 53345296 is about 7303.7864152780. The cubic root of 53345296 is about 376.4425526993.

The spelling of 53345296 in words is "fifty-three million, three hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 821 1048 1642 2096 3284 4061 6568 8122 13136 16244 25451 32488 50902 64976 101804 107551 203608 215102 407216 430204 860408 1720816 3334081 6668162 13336324 26672648 53345296