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45512464 = 2431891031
BaseRepresentation
bin1010110110011…
…1011100010000
310011122021100211
42231213130100
543122344324
64303253504
71061564254
oct255473420
9104567324
1045512464
1123766208
12132aa294
13957696a
14608a264
153ee0294
hex2b67710

45512464 has 40 divisors (see below), whose sum is σ = 92136960. Its totient is φ = 21753600.

The previous prime is 45512461. The next prime is 45512471. The reversal of 45512464 is 46421554.

It is a happy number.

45512464 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 (31).

It is not an unprimeable number, because it can be changed into a prime (45512461) 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, 43629 + ... + 44659.

It is an arithmetic number, because the mean of its divisors is an integer number (2303424).

Almost surely, 245512464 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 45512464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46068480).

45512464 is an abundant number, since it is smaller than the sum of its proper divisors (46624496).

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

45512464 is a wasteful number, since it uses less digits than its factorization.

45512464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 45512464 is about 6746.2926115015. The cubic root of 45512464 is about 357.0344444426.

The spelling of 45512464 in words is "forty-five million, five hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 496 712 1031 1424 2062 2759 4124 5518 8248 11036 16496 22072 31961 44144 63922 91759 127844 183518 255688 367036 511376 734072 1468144 2844529 5689058 11378116 22756232 45512464