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476899164 = 223572171931
BaseRepresentation
bin11100011011001…
…110011101011100
31020020100222200000
4130123032131130
51434041233124
6115153334300
714550401400
oct3433163534
91206328600
10476899164
11225219445
12113867390
1377a57471
14474a1100
152bd036c9
hex1c6ce75c

476899164 has 432 divisors, whose sum is σ = 1673118720. Its totient is φ = 117573120.

The previous prime is 476899153. The next prime is 476899169. The reversal of 476899164 is 461998674.

476899164 is a `hidden beast` number, since 476 + 8 + 9 + 9 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 476899164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476899169) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 15383829 + ... + 15383859.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2476899164 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 476899164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

476899164 is an abundant number, since it is smaller than the sum of its proper divisors (1196219556).

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

476899164 is a wasteful number, since it uses less digits than its factorization.

476899164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 476899164 is about 21838.0210641899. The cubic root of 476899164 is about 781.2838619648.

The spelling of 476899164 in words is "four hundred seventy-six million, eight hundred ninety-nine thousand, one hundred sixty-four".