Search a number
-
+
895668736 = 291132137
BaseRepresentation
bin110101011000101…
…101001000000000
32022102100200112011
4311120231020000
53313242344421
6224513142304
731124026054
oct6530551000
92272320464
10895668736
1141a6441a6
1220bb5a994
1311373b101
1486d4dc64
15539734e1
hex3562d200

895668736 has 60 divisors (see below), whose sum is σ = 1818744642. Its totient is φ = 440631296.

The previous prime is 895668733. The next prime is 895668751. The reversal of 895668736 is 637866598.

It can be written as a sum of positive squares in 3 ways, for example, as 260628736 + 635040000 = 16144^2 + 25200^2 .

Its product of digits (13063680) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (895668733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6537660 + ... + 6537796.

Almost surely, 2895668736 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 895668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909372321).

895668736 is an abundant number, since it is smaller than the sum of its proper divisors (923075906).

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

895668736 is an equidigital number, since it uses as much as digits as its factorization.

895668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 252 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The square root of 895668736 is about 29927.7252059023. The cubic root of 895668736 is about 963.9380824886.

The spelling of 895668736 in words is "eight hundred ninety-five million, six hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 128 137 226 256 274 452 512 548 904 1096 1808 2192 3616 4384 7232 8768 12769 14464 15481 17536 25538 28928 30962 35072 51076 57856 61924 70144 102152 123848 204304 247696 408608 495392 817216 990784 1634432 1749353 1981568 3268864 3498706 3963136 6537728 6997412 7926272 13994824 27989648 55979296 111958592 223917184 447834368 895668736