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45015464 = 2313795479
BaseRepresentation
bin1010101110111…
…0000110101000
310010201000121102
42223232012220
543010443324
64244500532
71054424264
oct253560650
9103630542
1045015464
112345686a
12130aa748
139431690
145d9b0a4
153e42dae
hex2aee1a8

45015464 has 32 divisors (see below), whose sum is σ = 92064000. Its totient is φ = 20509632.

The previous prime is 45015461. The next prime is 45015479. The reversal of 45015464 is 46451054.

45015464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45015461) 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, 5477 + ... + 10955.

It is an arithmetic number, because the mean of its divisors is an integer number (2877000).

Almost surely, 245015464 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 45015464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46032000).

45015464 is an abundant number, since it is smaller than the sum of its proper divisors (47048536).

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

45015464 is a wasteful number, since it uses less digits than its factorization.

45015464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 45015464 is about 6709.3564520004. The cubic root of 45015464 is about 355.7300693369.

The spelling of 45015464 in words is "forty-five million, fifteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 4108 5479 8216 10958 21916 43832 71227 142454 284908 432841 569816 865682 1731364 3462728 5626933 11253866 22507732 45015464