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52653312 = 283222853
BaseRepresentation
bin1100100011011…
…0110100000000
310200002001202200
43020312310000
5101434401222
65120313200
71206355125
oct310666400
9120061680
1052653312
11277a3238
1215772800
13aba700a
146dc874c
154950eac
hex3236d00

52653312 has 54 divisors (see below), whose sum is σ = 151819122. Its totient is φ = 17550336.

The previous prime is 52653259. The next prime is 52653319. The reversal of 52653312 is 21335625.

52653312 is a `hidden beast` number, since 5 + 2 + 653 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37161216 + 15492096 = 6096^2 + 3936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52653319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9123 + ... + 13730.

Almost surely, 252653312 is an apocalyptic number.

It is an amenable number.

52653312 is an abundant number, since it is smaller than the sum of its proper divisors (99165810).

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

52653312 is a wasteful number, since it uses less digits than its factorization.

52653312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22875 (or 22858 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 52653312 is about 7256.2601937913. The cubic root of 52653312 is about 374.8077521255.

Adding to 52653312 its reverse (21335625), we get a palindrome (73988937).

The spelling of 52653312 in words is "fifty-two million, six hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 22853 45706 68559 91412 137118 182824 205677 274236 365648 411354 548472 731296 822708 1096944 1462592 1645416 2193888 2925184 3290832 4387776 5850368 6581664 8775552 13163328 17551104 26326656 52653312