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465936920 = 23511648423
BaseRepresentation
bin11011110001011…
…010001000011000
31012110202001021222
4123301122020120
51423234440140
6114122351212
714355253451
oct3361321030
91173661258
10465936920
1121a011339
1211005b508
13756b9927
1445c4a128
152ad8a5b5
hex1bc5a218

465936920 has 16 divisors (see below), whose sum is σ = 1048358160. Its totient is φ = 186374752.

The previous prime is 465936883. The next prime is 465936923. The reversal of 465936920 is 29639564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465936923) 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 3 ways as a sum of consecutive naturals, for example, 5824172 + ... + 5824251.

It is an arithmetic number, because the mean of its divisors is an integer number (65522385).

Almost surely, 2465936920 is an apocalyptic number.

465936920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465936920 is an abundant number, since it is smaller than the sum of its proper divisors (582421240).

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

465936920 is a wasteful number, since it uses less digits than its factorization.

465936920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648434 (or 11648430 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The square root of 465936920 is about 21585.5720331892. The cubic root of 465936920 is about 775.2510709256.

The spelling of 465936920 in words is "four hundred sixty-five million, nine hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11648423 23296846 46593692 58242115 93187384 116484230 232968460 465936920