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484130816 = 214132273
BaseRepresentation
bin11100110110110…
…100000000000000
31020201222101121222
4130312310000000
51442414141231
6120012334212
714666021051
oct3466640000
91221871558
10484130816
11229308714
12116174368
13793b9c50
1448424728
152c78127b
hex1cdb4000

484130816 has 60 divisors (see below), whose sum is σ = 1043170212. Its totient is φ = 223346688.

The previous prime is 484130807. The next prime is 484130827. The reversal of 484130816 is 618031484.

It can be written as a sum of positive squares in 2 ways, for example, as 256000000 + 228130816 = 16000^2 + 15104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211856 + ... + 214128.

Almost surely, 2484130816 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 484130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521585106).

484130816 is an abundant number, since it is smaller than the sum of its proper divisors (559039396).

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

484130816 is an equidigital number, since it uses as much as digits as its factorization.

484130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 484130816 is about 22002.9728900437. The cubic root of 484130816 is about 785.2131710412.

The spelling of 484130816 in words is "four hundred eighty-four million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 2273 3328 4096 4546 6656 8192 9092 13312 16384 18184 26624 29549 36368 53248 59098 72736 106496 118196 145472 212992 236392 290944 472784 581888 945568 1163776 1891136 2327552 3782272 4655104 7564544 9310208 15129088 18620416 30258176 37240832 60516352 121032704 242065408 484130816