Search a number
-
+
484408314 = 232132119811
BaseRepresentation
bin11100110111110…
…111101111111010
31020202111111021200
4130313313233322
51443002031224
6120022315030
715001255065
oct3467675772
91222444250
10484408314
11229488155
12116288a76
1379486350
14484978dc
152c7d85c9
hex1cdf7bfa

484408314 has 48 divisors (see below), whose sum is σ = 1135758624. Its totient is φ = 148327200.

The previous prime is 484408303. The next prime is 484408333. The reversal of 484408314 is 413804484.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44469 + ... + 54279.

It is an arithmetic number, because the mean of its divisors is an integer number (23661638).

Almost surely, 2484408314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484408314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567879312).

484408314 is an abundant number, since it is smaller than the sum of its proper divisors (651350310).

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

484408314 is a wasteful number, since it uses less digits than its factorization.

484408314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10043 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 484408314 is about 22009.2779072826. The cubic root of 484408314 is about 785.3631673225.

The spelling of 484408314 in words is "four hundred eighty-four million, four hundred eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 234 422 633 1266 1899 2743 3798 5486 8229 9811 16458 19622 24687 29433 49374 58866 88299 127543 176598 255086 382629 765258 1147887 2070121 2295774 4140242 6210363 12420726 18631089 26911573 37262178 53823146 80734719 161469438 242204157 484408314