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484909312 = 2817310949
BaseRepresentation
bin11100111001110…
…010000100000000
31020210102221112011
4130321302010000
51443114044222
6120041142304
715005442526
oct3471620400
91223387464
10484909312
1122979a5a8
1211648a994
13796003b4
1448588316
152c886c77
hex1ce72100

484909312 has 36 divisors (see below), whose sum is σ = 973608300. Its totient is φ = 241031168.

The previous prime is 484909307. The next prime is 484909333. The reversal of 484909312 is 213909484.

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 260628736 = 14976^2 + 16144^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38814 + ... + 49762.

It is an arithmetic number, because the mean of its divisors is an integer number (27044675).

Almost surely, 2484909312 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 484909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486804150).

484909312 is an abundant number, since it is smaller than the sum of its proper divisors (488698988).

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

484909312 is a wasteful number, since it uses less digits than its factorization.

484909312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138 (or 11124 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 484909312 is about 22020.6564843104. The cubic root of 484909312 is about 785.6338272842.

The spelling of 484909312 in words is "four hundred eighty-four million, nine hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1384 2768 5536 10949 11072 21898 22144 43796 44288 87592 175184 350368 700736 1401472 1894177 2802944 3788354 7576708 15153416 30306832 60613664 121227328 242454656 484909312