Search a number
-
+
53958024 = 23321939443
BaseRepresentation
bin1100110111010…
…1010110001000
310202112100111100
43031311112020
5102303124044
65204301400
71223431011
oct315652610
9122470440
1053958024
112850450a
12160a1860
13b242b33
147248008
154b0c869
hex3375588

53958024 has 48 divisors (see below), whose sum is σ = 153831600. Its totient is φ = 17038944.

The previous prime is 53958007. The next prime is 53958071. The reversal of 53958024 is 42085935.

53958024 is a `hidden beast` number, since 53 + 9 + 580 + 24 = 666.

53958024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×539580242 = 5822936707969152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53958024.

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 11 ways as a sum of consecutive naturals, for example, 18354 + ... + 21089.

It is an arithmetic number, because the mean of its divisors is an integer number (3204825).

Almost surely, 253958024 is an apocalyptic number.

It is an amenable number.

53958024 is an abundant number, since it is smaller than the sum of its proper divisors (99873576).

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

53958024 is a wasteful number, since it uses less digits than its factorization.

53958024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39474 (or 39467 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 53958024 is about 7345.6125680572. The cubic root of 53958024 is about 377.8783517178.

The spelling of 53958024 in words is "fifty-three million, nine hundred fifty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 39443 78886 118329 157772 236658 315544 354987 473316 709974 749417 946632 1419948 1498834 2248251 2839896 2997668 4496502 5995336 6744753 8993004 13489506 17986008 26979012 53958024