Search a number
-
+
53910944 = 2517113877
BaseRepresentation
bin1100110110100…
…1110110100000
310202102221220122
43031221312200
5102300122234
65203255412
71223143523
oct315516640
9122387818
1053910944
11284820aa
121607a568
13b227589
147234bba
154aed92e
hex3369da0

53910944 has 48 divisors (see below), whose sum is σ = 113504328. Its totient is φ = 25116672.

The previous prime is 53910931. The next prime is 53910959. The reversal of 53910944 is 44901935.

53910944 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 4 ways, for example, as 46403344 + 7507600 = 6812^2 + 2740^2 .

It is a super-2 number, since 2×539109442 = 5812779765942272, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61034 + ... + 61910.

Almost surely, 253910944 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 53910944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56752164).

53910944 is an abundant number, since it is smaller than the sum of its proper divisors (59593384).

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

53910944 is a wasteful number, since it uses less digits than its factorization.

53910944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 53910944 is about 7342.4072346881. The cubic root of 53910944 is about 377.7684163258.

Subtracting from 53910944 its reverse (44901935), we obtain a palindrome (9009009).

The spelling of 53910944 in words is "fifty-three million, nine hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 452 544 877 904 1754 1808 1921 3508 3616 3842 7016 7684 14032 14909 15368 28064 29818 30736 59636 61472 99101 119272 198202 238544 396404 477088 792808 1585616 1684717 3171232 3369434 6738868 13477736 26955472 53910944