Search a number
-
+
45660528 = 2432317087
BaseRepresentation
bin1010111000101…
…1100101110000
310011220210110200
42232023211300
543142114103
64310355200
71063052034
oct256134560
9104823420
1045660528
1123857481
121335bb00
1395c9184
1460c81c4
15401e0a3
hex2b8b970

45660528 has 30 divisors (see below), whose sum is σ = 127786464. Its totient is φ = 15220128.

The previous prime is 45660523. The next prime is 45660557. The reversal of 45660528 is 82506654.

45660528 is a `hidden beast` number, since 45 + 6 + 605 + 2 + 8 = 666.

45660528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45660492 and 45660501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45660523) 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 5 ways as a sum of consecutive naturals, for example, 158400 + ... + 158687.

Almost surely, 245660528 is an apocalyptic number.

45660528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45660528 is an abundant number, since it is smaller than the sum of its proper divisors (82125936).

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

45660528 is a wasteful number, since it uses less digits than its factorization.

45660528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317101 (or 317092 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45660528 is about 6757.2574318284. The cubic root of 45660528 is about 357.4212009481.

The spelling of 45660528 in words is "forty-five million, six hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317087 634174 951261 1268348 1902522 2536696 2853783 3805044 5073392 5707566 7610088 11415132 15220176 22830264 45660528