Search a number
-
+
632648256 = 26313125153
BaseRepresentation
bin100101101101010…
…111001001000000
31122002102212020220
4211231113021000
52243424221011
6142435503040
721451264362
oct4555271100
91562385226
10632648256
112a5127aa9
12157a57a80
13a10ba0a6
1460044d32
153a81b506
hex25b57240

632648256 has 56 divisors (see below), whose sum is σ = 1686726624. Its totient is φ = 209264640.

The previous prime is 632648249. The next prime is 632648257. The reversal of 632648256 is 652846236.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (632648257) 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 7 ways as a sum of consecutive naturals, for example, 12576 + ... + 37728.

Almost surely, 2632648256 is an apocalyptic number.

It is a pronic number, being equal to 25152×25153.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843363312).

632648256 is an abundant number, since it is smaller than the sum of its proper divisors (1054078368).

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

632648256 is a wasteful number, since it uses less digits than its factorization.

632648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25299 (or 25289 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 632648256 is about 25152.4999950303. The cubic root of 632648256 is about 858.4613989661.

The spelling of 632648256 in words is "six hundred thirty-two million, six hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 25152 25153 50306 75459 100612 150918 201224 301836 402448 603672 804896 1207344 1609792 2414688 3295043 4829376 6590086 9885129 13180172 19770258 26360344 39540516 52720688 79081032 105441376 158162064 210882752 316324128 632648256