Search a number
-
+
45959564 = 2274913343
BaseRepresentation
bin1010111101010…
…0100110001100
310012110222200002
42233110212030
543231201224
64321023432
71065435620
oct257244614
9105428602
1045959564
1123a41112
1213484b78
1396a2311
146165180
15407c9ae
hex2bd498c

45959564 has 24 divisors (see below), whose sum is σ = 92133888. Its totient is φ = 19650960.

The previous prime is 45959549. The next prime is 45959579. The reversal of 45959564 is 46595954.

45959564 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 (45959549) and next prime (45959579).

It is a super-2 number, since 2×459595642 = 4224563046140192, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 12077 + ... + 15419.

It is an arithmetic number, because the mean of its divisors is an integer number (3838912).

Almost surely, 245959564 is an apocalyptic number.

It is an amenable number.

45959564 is an abundant number, since it is smaller than the sum of its proper divisors (46174324).

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

45959564 is a wasteful number, since it uses less digits than its factorization.

45959564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3843 counting only the distinct ones).

The product of its digits is 972000, while the sum is 47.

The square root of 45959564 is about 6779.3483462646. The cubic root of 45959564 is about 358.1997678280.

The spelling of 45959564 in words is "forty-five million, nine hundred fifty-nine thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 491 982 1964 3343 3437 6686 6874 13372 13748 23401 46802 93604 1641413 3282826 6565652 11489891 22979782 45959564