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45784840 = 2351144621
BaseRepresentation
bin1010111010100…
…1111100001000
310012011002222211
42232221330020
543210103330
64313154504
71064110333
oct256517410
9105132884
1045784840
1123931912
12133bba34
13964092a
14611b61a
154045d2a
hex2ba9f08

45784840 has 16 divisors (see below), whose sum is σ = 103015980. Its totient is φ = 18313920.

The previous prime is 45784829. The next prime is 45784853. The reversal of 45784840 is 4848754.

45784840 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 2 ways, for example, as 45778756 + 6084 = 6766^2 + 78^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1144621 = 45784840 / (4 + 5 + 7 + 8 + 4 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 45784793 and 45784802.

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 3 ways as a sum of consecutive naturals, for example, 572271 + ... + 572350.

Almost surely, 245784840 is an apocalyptic number.

45784840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45784840 is an abundant number, since it is smaller than the sum of its proper divisors (57231140).

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

45784840 is a wasteful number, since it uses less digits than its factorization.

45784840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144632 (or 1144628 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 45784840 is about 6766.4495860089. The cubic root of 45784840 is about 357.7452699340.

The spelling of 45784840 in words is "forty-five million, seven hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1144621 2289242 4578484 5723105 9156968 11446210 22892420 45784840