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477130764 = 223118114457
BaseRepresentation
bin11100011100000…
…111000000001100
31020020210202100210
4130130013000030
51434121141024
6115202322420
714552354535
oct3434070014
91206722323
10477130764
11225367450
12113959410
1377b089c6
144752168c
152bd4c129
hex1c70700c

477130764 has 48 divisors (see below), whose sum is σ = 1216285056. Its totient is φ = 144374400.

The previous prime is 477130763. The next prime is 477130769. The reversal of 477130764 is 467031774.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (477130763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104824 + ... + 109280.

It is an arithmetic number, because the mean of its divisors is an integer number (25339272).

Almost surely, 2477130764 is an apocalyptic number.

477130764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

477130764 is an abundant number, since it is smaller than the sum of its proper divisors (739154292).

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

477130764 is a wasteful number, since it uses less digits than its factorization.

477130764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 477130764 is about 21843.3230988327. The cubic root of 477130764 is about 781.4103150131.

The spelling of 477130764 in words is "four hundred seventy-seven million, one hundred thirty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 811 1622 2433 3244 4457 4866 8914 8921 9732 13371 17828 17842 26742 26763 35684 49027 53484 53526 98054 107052 147081 196108 294162 588324 3614627 7229254 10843881 14458508 21687762 39760897 43375524 79521794 119282691 159043588 238565382 477130764