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53539540 = 225532953
BaseRepresentation
bin1100110000111…
…1001011010100
310201202002102221
43030033023110
5102201231130
65151312124
71220035645
oct314171324
9121662387
1053539540
112824905a
1215b1b644
13b127502
1471796cc
154a7887a
hex330f2d4

53539540 has 36 divisors (see below), whose sum is σ = 114714684. Its totient is φ = 20989696.

The previous prime is 53539501. The next prime is 53539547. The reversal of 53539540 is 4593535.

It is a happy number.

53539540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 715716 + 52823824 = 846^2 + 7268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53539496 and 53539505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53539547) 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, 55704 + ... + 56656.

It is an arithmetic number, because the mean of its divisors is an integer number (3186519).

Almost surely, 253539540 is an apocalyptic number.

It is an amenable number.

53539540 is an abundant number, since it is smaller than the sum of its proper divisors (61175144).

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

53539540 is a wasteful number, since it uses less digits than its factorization.

53539540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 53539540 is about 7317.0718186991. The cubic root of 53539540 is about 376.8989074304.

The spelling of 53539540 in words is "fifty-three million, five hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 953 1060 1906 2809 3812 4765 5618 9530 11236 14045 19060 28090 50509 56180 101018 202036 252545 505090 1010180 2676977 5353954 10707908 13384885 26769770 53539540