Search a number
-
+
484924048 = 24717257991
BaseRepresentation
bin11100111001110…
…101101010010000
31020210110200201221
4130321311222100
51443120032143
6120041334424
715005533510
oct3471655220
91223420657
10484924048
112297aa684
12116497414
137960700b
144858d840
152c88b2ed
hex1ce75a90

484924048 has 80 divisors (see below), whose sum is σ = 1142498304. Its totient is φ = 194641920.

The previous prime is 484924021. The next prime is 484924081. The reversal of 484924048 is 840429484.

It is a junction number, because it is equal to n+sod(n) for n = 484923995 and 484924013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488833 + ... + 489823.

Almost surely, 2484924048 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 484924048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571249152).

484924048 is an abundant number, since it is smaller than the sum of its proper divisors (657574256).

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

484924048 is a wasteful number, since it uses less digits than its factorization.

484924048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 484924048 is about 22020.9910766977. The cubic root of 484924048 is about 785.6417854615.

The spelling of 484924048 in words is "four hundred eighty-four million, nine hundred twenty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 257 272 476 514 952 991 1028 1799 1904 1982 2056 3598 3964 4112 4369 6937 7196 7928 8738 13874 14392 15856 16847 17476 27748 28784 30583 33694 34952 55496 61166 67388 69904 110992 117929 122332 134776 235858 244664 254687 269552 471716 489328 509374 943432 1018748 1782809 1886864 2037496 3565618 4074992 4329679 7131236 8659358 14262472 17318716 28524944 30307753 34637432 60615506 69274864 121231012 242462024 484924048