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53325984 = 2531035393
BaseRepresentation
bin1100101101101…
…1000010100000
310201100020111110
43023123002200
5102122412414
65142543320
71215156225
oct313330240
9121306443
1053325984
1128112668
1215a37b40
13b08124a
14712194c
154a35459
hex32db0a0

53325984 has 48 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 17599488.

The previous prime is 53325949. The next prime is 53325997. The reversal of 53325984 is 48952335.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7192 + ... + 12584.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124).

Almost surely, 253325984 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 53325984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682976).

53325984 is an abundant number, since it is smaller than the sum of its proper divisors (88039968).

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

53325984 is a wasteful number, since it uses less digits than its factorization.

53325984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5501 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 53325984 is about 7302.4642416105. The cubic root of 53325984 is about 376.3971207895.

The spelling of 53325984 in words is "fifty-three million, three hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 5393 9888 10786 16179 21572 32358 43144 64716 86288 129432 172576 258864 517728 555479 1110958 1666437 2221916 3332874 4443832 6665748 8887664 13331496 17775328 26662992 53325984