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45645136 = 2417414093
BaseRepresentation
bin1010111000011…
…1110101010000
310011220000100121
42232013311100
543141121021
64310200024
71062656125
oct256076520
9104800317
1045645136
1123846959
1213353014
1395c2174
1460c274c
154019741
hex2b87d50

45645136 has 40 divisors (see below), whose sum is σ = 95946984. Its totient is φ = 20951040.

The previous prime is 45645121. The next prime is 45645139. The reversal of 45645136 is 63154654.

45645136 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 2085136 + 43560000 = 1444^2 + 6600^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645139) 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, 9106 + ... + 13198.

Almost surely, 245645136 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 45645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973492).

45645136 is an abundant number, since it is smaller than the sum of its proper divisors (50301848).

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

45645136 is a wasteful number, since it uses less digits than its factorization.

45645136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4153 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 45645136 is about 6756.1184122246. The cubic root of 45645136 is about 357.3810346334.

The spelling of 45645136 in words is "forty-five million, six hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 4093 5576 8186 11152 16372 32744 65488 69581 139162 167813 278324 335626 556648 671252 1113296 1342504 2685008 2852821 5705642 11411284 22822568 45645136