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480067812 = 223271905031
BaseRepresentation
bin11100100111010…
…100000011100100
31020110022222020100
4130213110003210
51440344132222
6115345304100
714616336420
oct3447240344
91213288210
10480067812
11226a93064
12114935030
13785c67c3
1447a87b80
152c22c4ac
hex1c9d40e4

480067812 has 36 divisors (see below), whose sum is σ = 1386863296. Its totient is φ = 137162160.

The previous prime is 480067801. The next prime is 480067817. The reversal of 480067812 is 218760084.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480067817) 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, 952264 + ... + 952767.

Almost surely, 2480067812 is an apocalyptic number.

480067812 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

480067812 is an abundant number, since it is smaller than the sum of its proper divisors (906795484).

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

480067812 is a wasteful number, since it uses less digits than its factorization.

480067812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905048 (or 1905043 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 480067812 is about 21910.4498356378. The cubic root of 480067812 is about 783.0103980260.

The spelling of 480067812 in words is "four hundred eighty million, sixty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1905031 3810062 5715093 7620124 11430186 13335217 17145279 22860372 26670434 34290558 40005651 53340868 68581116 80011302 120016953 160022604 240033906 480067812