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53085864 = 23313229743
BaseRepresentation
bin1100101010000…
…0011010101000
310200220001010010
43022200122220
5102042221424
65133451520
71213136166
oct312403250
9120801103
1053085864
1127a69217
1215940ba0
13acc8b70
14709c236
1549d9229
hex32a06a8

53085864 has 64 divisors (see below), whose sum is σ = 143740800. Its totient is φ = 16240896.

The previous prime is 53085841. The next prime is 53085911. The reversal of 53085864 is 46858035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71077 + ... + 71819.

It is an arithmetic number, because the mean of its divisors is an integer number (2245950).

Almost surely, 253085864 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 53085864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71870400).

53085864 is an abundant number, since it is smaller than the sum of its proper divisors (90654936).

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

53085864 is a wasteful number, since it uses less digits than its factorization.

53085864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 53085864 is about 7286.0046664822. The cubic root of 53085864 is about 375.8313148576.

The spelling of 53085864 in words is "fifty-three million, eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 687 743 916 1374 1486 1832 2229 2748 2972 2977 4458 5496 5944 5954 8916 8931 9659 11908 17832 17862 19318 23816 28977 35724 38636 57954 71448 77272 115908 170147 231816 340294 510441 680588 1020882 1361176 2041764 2211911 4083528 4423822 6635733 8847644 13271466 17695288 26542932 53085864