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45659568 = 2434123201
BaseRepresentation
bin1010111000101…
…1010110110000
310011220202011010
42232023112300
543142101233
64310350520
71063046163
oct256132660
9104822133
1045659568
1123856789
121335b440
1395c88c6
1460c7ada
15401db63
hex2b8b5b0

45659568 has 40 divisors (see below), whose sum is σ = 120836016. Its totient is φ = 14848000.

The previous prime is 45659561. The next prime is 45659573. The reversal of 45659568 is 86595654.

45659568 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 2×456595682 = 4169592299893248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45659561) 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 7 ways as a sum of consecutive naturals, for example, 9633 + ... + 13568.

Almost surely, 245659568 is an apocalyptic number.

45659568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45659568 is an abundant number, since it is smaller than the sum of its proper divisors (75176448).

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

45659568 is a wasteful number, since it uses less digits than its factorization.

45659568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23253 (or 23247 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 45659568 is about 6757.1863967187. The cubic root of 45659568 is about 357.4186960365.

The spelling of 45659568 in words is "forty-five million, six hundred fifty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 23201 46402 69603 92804 139206 185608 278412 371216 556824 951241 1113648 1902482 2853723 3804964 5707446 7609928 11414892 15219856 22829784 45659568