Search a number
-
+
57304032 = 253596917
BaseRepresentation
bin1101101010011…
…0001111100000
310222211100100120
43122212033200
5104132212112
65404120240
71264035102
oct332461740
9128740316
1057304032
112a38a405
1217236080
13bb44b16
147879572
15506de8c
hex36a63e0

57304032 has 24 divisors (see below), whose sum is σ = 150423336. Its totient is φ = 19101312.

The previous prime is 57303997. The next prime is 57304033. The reversal of 57304032 is 23040375.

57304032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 57303993 and 57304011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57304033) 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 3 ways as a sum of consecutive naturals, for example, 298363 + ... + 298554.

It is an arithmetic number, because the mean of its divisors is an integer number (6267639).

Almost surely, 257304032 is an apocalyptic number.

It is an amenable number.

57304032 is an abundant number, since it is smaller than the sum of its proper divisors (93119304).

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

57304032 is a wasteful number, since it uses less digits than its factorization.

57304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596930 (or 596922 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 57304032 is about 7569.9426682109. The cubic root of 57304032 is about 385.5331501451.

It can be divided in two parts, 5 and 7304032, that added together give a palindrome (7304037).

The spelling of 57304032 in words is "fifty-seven million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 596917 1193834 1790751 2387668 3581502 4775336 7163004 9550672 14326008 19101344 28652016 57304032