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53643384 = 2334194357
BaseRepresentation
bin1100110010100…
…0100001111000
310201221100220000
43030220201320
5102213042014
65153433000
71220650464
oct314504170
9121840800
1053643384
112830a083
1215b6b760
13b162862
1471a54a4
154a99509
hex3328878

53643384 has 80 divisors (see below), whose sum is σ = 158195400. Its totient is φ = 16936128.

The previous prime is 53643371. The next prime is 53643389. The reversal of 53643384 is 48334635.

53643384 is a `hidden beast` number, since 5 + 3 + 643 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×536433842 = 5755225293942912, which contains 22 as substring.

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 (53643389) 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 19 ways as a sum of consecutive naturals, for example, 10134 + ... + 14490.

Almost surely, 253643384 is an apocalyptic number.

53643384 is a gapful number since it is divisible by the number (54) 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 53643384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79097700).

53643384 is an abundant number, since it is smaller than the sum of its proper divisors (104552016).

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

53643384 is a wasteful number, since it uses less digits than its factorization.

53643384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4381 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 53643384 is about 7324.1643891983. The cubic root of 53643384 is about 377.1424247339.

The spelling of 53643384 in words is "fifty-three million, six hundred forty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 4357 6156 8714 12312 13071 17428 26142 34856 39213 52284 78426 82783 104568 117639 156852 165566 235278 248349 313704 331132 352917 470556 496698 662264 705834 745047 941112 993396 1411668 1490094 1986792 2235141 2823336 2980188 4470282 5960376 6705423 8940564 13410846 17881128 26821692 53643384