Search a number
-
+
484528928 = 25131497817
BaseRepresentation
bin11100111000010…
…101001100100000
31020202201121201212
4130320111030200
51443014411203
6120025045252
715002266532
oct3470251440
91222647655
10484528928
1122955a834
12116326828
13794c9210
14484c9852
152c80e1d8
hex1ce15320

484528928 has 48 divisors (see below), whose sum is σ = 1034321400. Its totient is φ = 222099456.

The previous prime is 484528903. The next prime is 484528943. The reversal of 484528928 is 829825484.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72114064 + 412414864 = 8492^2 + 20308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58076 + ... + 65892.

Almost surely, 2484528928 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 484528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517160700).

484528928 is an abundant number, since it is smaller than the sum of its proper divisors (549792472).

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

484528928 is a wasteful number, since it uses less digits than its factorization.

484528928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7981 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The square root of 484528928 is about 22012.0178084609. The cubic root of 484528928 is about 785.4283450727.

The spelling of 484528928 in words is "four hundred eighty-four million, five hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 596 1192 1937 2384 3874 4768 7748 7817 15496 15634 30992 31268 61984 62536 101621 125072 203242 250144 406484 812968 1164733 1625936 2329466 3251872 4658932 9317864 15141529 18635728 30283058 37271456 60566116 121132232 242264464 484528928