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53415232 = 26131931109
BaseRepresentation
bin1100101111000…
…0110101000000
310201111202220221
43023300311000
5102133241412
65144512424
71216010353
oct313606500
9121452827
1053415232
1128173722
1215a7b714
13b0b2a60
14714629a
154a51b07
hex32f0d40

53415232 has 112 divisors (see below), whose sum is σ = 125171200. Its totient is φ = 22394880.

The previous prime is 53415221. The next prime is 53415233. The reversal of 53415232 is 23251435.

It is a super-2 number, since 2×534152322 = 5706374019227648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53415197 and 53415206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53415233) 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 15 ways as a sum of consecutive naturals, for example, 489994 + ... + 490102.

It is an arithmetic number, because the mean of its divisors is an integer number (1117600).

Almost surely, 253415232 is an apocalyptic number.

53415232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62585600).

53415232 is an abundant number, since it is smaller than the sum of its proper divisors (71755968).

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

53415232 is a wasteful number, since it uses less digits than its factorization.

53415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 53415232 is about 7308.5725008376. The cubic root of 53415232 is about 376.6069870032.

Adding to 53415232 its reverse (23251435), we get a palindrome (76666667).

The spelling of 53415232 in words is "fifty-three million, four hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 109 124 152 208 218 247 248 304 403 416 436 494 496 589 608 806 832 872 988 992 1178 1216 1417 1612 1744 1976 1984 2071 2356 2834 3224 3379 3488 3952 4142 4712 5668 6448 6758 6976 7657 7904 8284 9424 11336 12896 13516 15314 15808 16568 18848 22672 25792 26923 27032 30628 33136 37696 43927 45344 53846 54064 61256 64201 66272 87854 90688 107692 108128 122512 128402 132544 175708 215384 216256 245024 256804 351416 430768 490048 513608 702832 834613 861536 1027216 1405664 1669226 1723072 2054432 2811328 3338452 4108864 6676904 13353808 26707616 53415232