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53466368 = 28732861
BaseRepresentation
bin1100101111110…
…1010100000000
310201121101001212
43023331110000
5102141410433
65145545252
71216312424
oct313752400
9121541055
1053466368
11281a908a
1215aa5228
13b100107
14715ab84
154a61d48
hex32fd500

53466368 has 36 divisors (see below), whose sum is σ = 108223668. Its totient is φ = 26357760.

The previous prime is 53466349. The next prime is 53466389. The reversal of 53466368 is 86366435.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 23348224 = 5488^2 + 4832^2 .

It is a super-2 number, since 2×534663682 = 5717305014222848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17258 + ... + 20118.

It is an arithmetic number, because the mean of its divisors is an integer number (3006213).

Almost surely, 253466368 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 53466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54111834).

53466368 is an abundant number, since it is smaller than the sum of its proper divisors (54757300).

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

53466368 is an equidigital number, since it uses as much as digits as its factorization.

53466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2936 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 53466368 is about 7312.0700215466. The cubic root of 53466368 is about 376.7271277193.

The spelling of 53466368 in words is "fifty-three million, four hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 2861 4672 5722 9344 11444 18688 22888 45776 91552 183104 208853 366208 417706 732416 835412 1670824 3341648 6683296 13366592 26733184 53466368