Search a number
-
+
646232256 = 2631219
BaseRepresentation
bin100110100001001…
…011100011000000
31200001000000000000
4212201023203000
52310413413011
6144043000000
722004612025
oct4641134300
91601000000
10646232256
1130186594a
12160509000
13a3b65067
1461b7d54c
153bb01356
hex2684b8c0

646232256 has 182 divisors, whose sum is σ = 2024788940. Its totient is φ = 204073344.

The previous prime is 646232227. The next prime is 646232263. The reversal of 646232256 is 652232646.

646232256 is a `hidden beast` number, since 6 + 4 + 623 + 2 + 25 + 6 = 666.

It is a super-2 number, since 2×6462322562 = 835232257389699072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 646232256 = 1083 + 8643 = 4863 + 8103.

Its product of digits (103680) is a multiple of the sum of its prime divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 646232256.

It is an unprimeable number.

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 25 ways as a sum of consecutive naturals, for example, 34012215 + ... + 34012233.

Almost surely, 2646232256 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 646232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012394470).

646232256 is an abundant number, since it is smaller than the sum of its proper divisors (1378556684).

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

646232256 is an frugal number, since it uses more digits than its factorization.

646232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 24 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 646232256 is about 25421.0986387292. The cubic root of 646232256 is about 864.5621341859.

The spelling of 646232256 in words is "six hundred forty-six million, two hundred thirty-two thousand, two hundred fifty-six".