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476025984 = 273472937
BaseRepresentation
bin11100010111111…
…001010010000000
31020011201121220000
4130113321102000
51433330312414
6115122520000
714540103600
oct3427712200
91204647800
10476025984
11224782405
12113506000
137780cba5
1447314c00
152bbceb09
hex1c5f9480

476025984 has 240 divisors, whose sum is σ = 1649693430. Its totient is φ = 135862272.

The previous prime is 476025971. The next prime is 476026007. The reversal of 476025984 is 489520674.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 469675584 + 6350400 = 21672^2 + 2520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507564 + ... + 508500.

Almost surely, 2476025984 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 476025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824846715).

476025984 is an abundant number, since it is smaller than the sum of its proper divisors (1173667446).

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

476025984 is an equidigital number, since it uses as much as digits as its factorization.

476025984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 476025984 is about 21818.0197084887. The cubic root of 476025984 is about 780.8067392816.

The spelling of 476025984 in words is "four hundred seventy-six million, twenty-five thousand, nine hundred eighty-four".