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53928224 = 2572163211
BaseRepresentation
bin1100110110111…
…0000100100000
310202110211121122
43031232010200
5102301200344
65203511412
71223245100
oct315560440
9122424548
1053928224
1128494089
1216088568
13b2323bc
14723b200
154b03aee
hex336e120

53928224 has 72 divisors (see below), whose sum is σ = 124851888. Its totient is φ = 22861440.

The previous prime is 53928221. The next prime is 53928271. The reversal of 53928224 is 42282935.

It is not an unprimeable number, because it can be changed into a prime (53928221) 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, 255479 + ... + 255689.

It is an arithmetic number, because the mean of its divisors is an integer number (1734054).

Almost surely, 253928224 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 53928224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62425944).

53928224 is an abundant number, since it is smaller than the sum of its proper divisors (70923664).

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

53928224 is a wasteful number, since it uses less digits than its factorization.

53928224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 53928224 is about 7343.5838662059. The cubic root of 53928224 is about 377.8087738761.

The spelling of 53928224 in words is "fifty-three million, nine hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 163 196 211 224 326 392 422 652 784 844 1141 1304 1477 1568 1688 2282 2608 2954 3376 4564 5216 5908 6752 7987 9128 10339 11816 15974 18256 20678 23632 31948 34393 36512 41356 47264 63896 68786 82712 127792 137572 165424 240751 255584 275144 330848 481502 550288 963004 1100576 1685257 1926008 3370514 3852016 6741028 7704032 13482056 26964112 53928224