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52315344 = 2432418861
BaseRepresentation
bin1100011110010…
…0010011010000
310122102220011100
43013210103100
5101343042334
65105144400
71203446604
oct307442320
9118386140
1052315344
1127592324
121562b100
13aab9233
146d3b504
1548d5c99
hex31e44d0

52315344 has 60 divisors (see below), whose sum is σ = 149998212. Its totient is φ = 17011200.

The previous prime is 52315337. The next prime is 52315349. The reversal of 52315344 is 44351325.

52315344 is a `hidden beast` number, since 5 + 2 + 315 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29160000 + 23155344 = 5400^2 + 4812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52315349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474 + ... + 10334.

Almost surely, 252315344 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 52315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74999106).

52315344 is an abundant number, since it is smaller than the sum of its proper divisors (97682868).

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

52315344 is a wasteful number, since it uses less digits than its factorization.

52315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916 (or 8907 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 52315344 is about 7232.9346741140. The cubic root of 52315344 is about 374.0040988236.

Adding to 52315344 its reverse (44351325), we get a palindrome (96666669).

The spelling of 52315344 in words is "fifty-two million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 8861 17722 26583 35444 53166 70888 79749 106332 141776 159498 212664 318996 363301 425328 637992 726602 1089903 1275984 1453204 2179806 2906408 3269709 4359612 5812816 6539418 8719224 13078836 17438448 26157672 52315344