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478320813 = 32531002769
BaseRepresentation
bin11100100000101…
…001100010101101
31020100001012210200
4130200221202231
51434422231223
6115244024113
714565442215
oct3440514255
91210035720
10478320813
11225aaa563
12114232039
1378134589
1447751245
152bed4a43
hex1c8298ad

478320813 has 12 divisors (see below), whose sum is σ = 703944540. Its totient is φ = 312863616.

The previous prime is 478320803. The next prime is 478320827. The reversal of 478320813 is 318023874.

It can be written as a sum of positive squares in 2 ways, for example, as 224460324 + 253860489 = 14982^2 + 15933^2 .

It is not a de Polignac number, because 478320813 - 216 = 478255277 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478320803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 500908 + ... + 501861.

It is an arithmetic number, because the mean of its divisors is an integer number (58662045).

Almost surely, 2478320813 is an apocalyptic number.

It is an amenable number.

478320813 is a deficient number, since it is larger than the sum of its proper divisors (225623727).

478320813 is a wasteful number, since it uses less digits than its factorization.

478320813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002828 (or 1002825 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 478320813 is about 21870.5467009858. The cubic root of 478320813 is about 782.0594344145.

The spelling of 478320813 in words is "four hundred seventy-eight million, three hundred twenty thousand, eight hundred thirteen".

Divisors: 1 3 9 53 159 477 1002769 3008307 9024921 53146757 159440271 478320813