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53358032 = 2471322819
BaseRepresentation
bin1100101110001…
…0110111010000
310201101212110102
43023202313100
5102124424112
65143351532
71215351530
oct313426720
9121355412
1053358032
1128134752
1215a525a8
13b092a00
14712d4c0
154a3ebc2
hex32e2dd0

53358032 has 60 divisors (see below), whose sum is σ = 127982880. Its totient is φ = 21101184.

The previous prime is 53358031. The next prime is 53358047. The reversal of 53358032 is 23085335.

53358032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53357986 and 53358004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53358031) 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, 17519 + ... + 20337.

It is an arithmetic number, because the mean of its divisors is an integer number (2133048).

Almost surely, 253358032 is an apocalyptic number.

53358032 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 53358032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63991440).

53358032 is an abundant number, since it is smaller than the sum of its proper divisors (74624848).

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

53358032 is a wasteful number, since it uses less digits than its factorization.

53358032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 53358032 is about 7304.6582397810. The cubic root of 53358032 is about 376.4725084231.

The spelling of 53358032 in words is "fifty-three million, three hundred fifty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 2819 4732 5638 9464 11276 18928 19733 22552 36647 39466 45104 73294 78932 146588 157864 256529 293176 315728 476411 513058 586352 952822 1026116 1905644 2052232 3334877 3811288 4104464 6669754 7622576 13339508 26679016 53358032