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53312832 = 263292557
BaseRepresentation
bin1100101101011…
…1110101000000
310201022120110100
43023113311000
5102122002312
65142402400
71215102666
oct313276500
9121276410
1053312832
11281037a1
1215a30400
13b078271
14711ac36
154a315dc
hex32d7d40

53312832 has 42 divisors (see below), whose sum is σ = 152813258. Its totient is φ = 17770752.

The previous prime is 53312821. The next prime is 53312837. The reversal of 53312832 is 23821335.

53312832 is a `hidden beast` number, since 533 + 128 + 3 + 2 = 666.

53312832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34857216 + 18455616 = 5904^2 + 4296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53312796 and 53312805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53312837) 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 5 ways as a sum of consecutive naturals, for example, 45703 + ... + 46854.

Almost surely, 253312832 is an apocalyptic number.

It is an amenable number.

53312832 is an abundant number, since it is smaller than the sum of its proper divisors (99500426).

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

53312832 is a wasteful number, since it uses less digits than its factorization.

53312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92575 (or 92562 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53312832 is about 7301.5636681467. The cubic root of 53312832 is about 376.3661741378.

The spelling of 53312832 in words is "fifty-three million, three hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 92557 185114 277671 370228 555342 740456 833013 1110684 1480912 1666026 2221368 2961824 3332052 4442736 5923648 6664104 8885472 13328208 17770944 26656416 53312832