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480421884 = 2232315711087
BaseRepresentation
bin11100101000101…
…010011111111100
31020110222221221010
4130220222133330
51440442000014
6115401035220
714622342615
oct3450523774
91213887833
10480421884
11227205088
12114a85b10
13786bba07
1447b3ac0c
152c29c359
hex1ca2a7fc

480421884 has 48 divisors (see below), whose sum is σ = 1177279488. Its totient is φ = 152188608.

The previous prime is 480421871. The next prime is 480421913. The reversal of 480421884 is 488124084.

It is a super-2 number, since 2×4804218842 = 461610373252218912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37789 + ... + 48875.

It is an arithmetic number, because the mean of its divisors is an integer number (24526656).

Almost surely, 2480421884 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 480421884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588639744).

480421884 is an abundant number, since it is smaller than the sum of its proper divisors (696857604).

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

480421884 is a wasteful number, since it uses less digits than its factorization.

480421884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 480421884 is about 21918.5283265095. The cubic root of 480421884 is about 783.2028527300.

The spelling of 480421884 in words is "four hundred eighty million, four hundred twenty-one thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 157 276 314 471 628 942 1884 3611 7222 10833 11087 14444 21666 22174 33261 43332 44348 66522 133044 255001 510002 765003 1020004 1530006 1740659 3060012 3481318 5221977 6962636 10443954 20887908 40035157 80070314 120105471 160140628 240210942 480421884