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53143488 = 2632257359
BaseRepresentation
bin1100101010111…
…0011111000000
310200222222011100
43022232133000
5102101042423
65135014400
71213466166
oct312563700
9120888140
1053143488
1127aa8542
121596a400
13b019168
1470b5236
1549eb343
hex32ae7c0

53143488 has 84 divisors (see below), whose sum is σ = 153344880. Its totient is φ = 17596416.

The previous prime is 53143481. The next prime is 53143499. The reversal of 53143488 is 88434135.

53143488 is a `hidden beast` number, since 531 + 43 + 4 + 88 = 666.

53143488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×531434882 = 5648460633612288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53143481) 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 11 ways as a sum of consecutive naturals, for example, 147853 + ... + 148211.

Almost surely, 253143488 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 53143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76672440).

53143488 is an abundant number, since it is smaller than the sum of its proper divisors (100201392).

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

53143488 is a wasteful number, since it uses less digits than its factorization.

53143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 53143488 is about 7289.9580245705. The cubic root of 53143488 is about 375.9672523162.

The spelling of 53143488 in words is "fifty-three million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 257 288 359 514 576 718 771 1028 1077 1436 1542 2056 2154 2313 2872 3084 3231 4112 4308 4626 5744 6168 6462 8224 8616 9252 11488 12336 12924 16448 17232 18504 22976 24672 25848 34464 37008 49344 51696 68928 74016 92263 103392 148032 184526 206784 276789 369052 553578 738104 830367 1107156 1476208 1660734 2214312 2952416 3321468 4428624 5904832 6642936 8857248 13285872 17714496 26571744 53143488