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52313624 = 23113173
BaseRepresentation
bin1100011110001…
…1111000011000
310122102210210122
43013203320120
5101343013444
65105132412
71203441566
oct307437030
9118383718
1052313624
1127591000
121562a108
13aab850c
146d3aa36
1548d54ee
hex31e3e18

52313624 has 64 divisors (see below), whose sum is σ = 114631200. Its totient is φ = 22380160.

The previous prime is 52313617. The next prime is 52313627. The reversal of 52313624 is 42631325.

The cubic root of 52313624 is 374.

It is a perfect power (a cube), and thus also a powerful number.

52313624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4320) is a multiple of the sum of its prime divisors (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 52313593 and 52313602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52313627) 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 15 ways as a sum of consecutive naturals, for example, 3077264 + ... + 3077280.

Almost surely, 252313624 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 52313624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57315600).

52313624 is an abundant number, since it is smaller than the sum of its proper divisors (62317576).

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

52313624 is an equidigital number, since it uses as much as digits as its factorization.

52313624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 52313624 is about 7232.8157725743.

Adding to 52313624 its reverse (42631325), we get a palindrome (94944949).

The spelling of 52313624 in words is "fifty-two million, three hundred thirteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 289 374 484 578 748 968 1156 1331 1496 2057 2312 2662 3179 4114 4913 5324 6358 8228 9826 10648 12716 16456 19652 22627 25432 34969 39304 45254 54043 69938 90508 108086 139876 181016 216172 279752 384659 432344 594473 769318 1188946 1538636 2377892 3077272 4755784 6539203 13078406 26156812 52313624