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463085960 = 23511577149
BaseRepresentation
bin11011100110100…
…010000110001000
31012021101012111212
4123212202012020
51422022222320
6113541312252
714322110561
oct3346420610
91167335455
10463085960
11218444377
1210b105688
1374c2c07c
1445707168
152a9c59c5
hex1b9a2188

463085960 has 16 divisors (see below), whose sum is σ = 1041943500. Its totient is φ = 185234368.

The previous prime is 463085951. The next prime is 463085981. The reversal of 463085960 is 69580364.

It can be written as a sum of positive squares in 2 ways, for example, as 462336004 + 749956 = 21502^2 + 866^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5788535 + ... + 5788614.

Almost surely, 2463085960 is an apocalyptic number.

463085960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463085960 is an abundant number, since it is smaller than the sum of its proper divisors (578857540).

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

463085960 is a wasteful number, since it uses less digits than its factorization.

463085960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577160 (or 11577156 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 463085960 is about 21519.4321486418. The cubic root of 463085960 is about 773.6666410703. Note that the first 4 decimals are identical.

The spelling of 463085960 in words is "four hundred sixty-three million, eighty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 11577149 23154298 46308596 57885745 92617192 115771490 231542980 463085960