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45363140 = 225171011321
BaseRepresentation
bin1010110100001…
…0111111000100
310011100200112022
42231002333010
543103110030
64300142312
71060403024
oct255027704
9104320468
1045363140
1123673aa9
1213237998
1395239c4
14604ba84
153eb0de5
hex2b42fc4

45363140 has 48 divisors (see below), whose sum is σ = 101942064. Its totient is φ = 16896000.

The previous prime is 45363133. The next prime is 45363161. The reversal of 45363140 is 4136354.

45363140 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 8 ways, for example, as 15507844 + 29855296 = 3938^2 + 5464^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 33680 + ... + 35000.

It is an arithmetic number, because the mean of its divisors is an integer number (2123793).

Almost surely, 245363140 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 45363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50971032).

45363140 is an abundant number, since it is smaller than the sum of its proper divisors (56578924).

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

45363140 is a wasteful number, since it uses less digits than its factorization.

45363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 45363140 is about 6735.2164033533. The cubic root of 45363140 is about 356.6435462153.

Adding to 45363140 its reverse (4136354), we get a palindrome (49499494).

The spelling of 45363140 in words is "forty-five million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1321 1717 2020 2642 3434 5284 6605 6868 8585 13210 17170 22457 26420 34340 44914 89828 112285 133421 224570 266842 449140 533684 667105 1334210 2268157 2668420 4536314 9072628 11340785 22681570 45363140