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45507048 = 23341103449
BaseRepresentation
bin1010110110011…
…0000111101000
310011121222221020
42231212013220
543122211143
64303212440
71061542416
oct255460750
9104558836
1045507048
1123762134
12132a7120
139574362
1460882b6
153edd883
hex2b661e8

45507048 has 64 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 14622720.

The previous prime is 45507047. The next prime is 45507067. The reversal of 45507048 is 84070554.

45507048 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 (45507047) 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 15 ways as a sum of consecutive naturals, for example, 101128 + ... + 101576.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 245507048 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 45507048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

45507048 is an abundant number, since it is smaller than the sum of its proper divisors (72428952).

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

45507048 is a wasteful number, since it uses less digits than its factorization.

45507048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45507048 is about 6745.8911939046. The cubic root of 45507048 is about 357.0202814706.

The spelling of 45507048 in words is "forty-five million, five hundred seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 103 123 164 206 246 309 328 412 449 492 618 824 898 984 1236 1347 1796 2472 2694 3592 4223 5388 8446 10776 12669 16892 18409 25338 33784 36818 46247 50676 55227 73636 92494 101352 110454 138741 147272 184988 220908 277482 369976 441816 554964 1109928 1896127 3792254 5688381 7584508 11376762 15169016 22753524 45507048