Search a number
-
+
45813160 = 2351145329
BaseRepresentation
bin1010111011000…
…0110110101000
310012012112211201
42232300312220
543212010120
64313533544
71064256031
oct256606650
9105175751
1045813160
1123951118
12134142b4
1396507a3
146127a88
15404e40a
hex2bb0da8

45813160 has 16 divisors (see below), whose sum is σ = 103079700. Its totient is φ = 18325248.

The previous prime is 45813151. The next prime is 45813169. The reversal of 45813160 is 6131854.

45813160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45813151) and next prime (45813169).

It can be written as a sum of positive squares in 2 ways, for example, as 44970436 + 842724 = 6706^2 + 918^2 .

It is not an unprimeable number, because it can be changed into a prime (45813169) 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 3 ways as a sum of consecutive naturals, for example, 572625 + ... + 572704.

Almost surely, 245813160 is an apocalyptic number.

45813160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45813160 is an abundant number, since it is smaller than the sum of its proper divisors (57266540).

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

45813160 is a wasteful number, since it uses less digits than its factorization.

45813160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145340 (or 1145336 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 45813160 is about 6768.5419404773. The cubic root of 45813160 is about 357.8190152892.

The spelling of 45813160 in words is "forty-five million, eight hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1145329 2290658 4581316 5726645 9162632 11453290 22906580 45813160