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480774912 = 283626009
BaseRepresentation
bin11100101010000…
…000101100000000
31020111122220012020
4130222000230000
51441034244122
6115412401440
714625343062
oct3452005400
91214586166
10480774912
11227426342
12115016280
13787b35c7
1447bcd732
152c31bc5c
hex1ca80b00

480774912 has 36 divisors (see below), whose sum is σ = 1279564440. Its totient is φ = 160258048.

The previous prime is 480774901. The next prime is 480774913. The reversal of 480774912 is 219477084.

It is a happy number.

It is a super-3 number, since 3×4807749123 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (480774913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312237 + ... + 313772.

Almost surely, 2480774912 is an apocalyptic number.

It is an amenable number.

480774912 is an abundant number, since it is smaller than the sum of its proper divisors (798789528).

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

480774912 is an equidigital number, since it uses as much as digits as its factorization.

480774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626028 (or 626014 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 480774912 is about 21926.5800342872. The cubic root of 480774912 is about 783.3946458522.

The spelling of 480774912 in words is "four hundred eighty million, seven hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 626009 1252018 1878027 2504036 3756054 5008072 7512108 10016144 15024216 20032288 30048432 40064576 60096864 80129152 120193728 160258304 240387456 480774912