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468393888 = 2534879103
BaseRepresentation
bin11011111010110…
…001111110100000
31012122100212121210
4123322301332200
51424402101023
6114251150120
714415165564
oct3372617640
91178325553
10468393888
1122043a296
12110a45340
137606a061
14462c96a4
152b1c3593
hex1beb1fa0

468393888 has 24 divisors (see below), whose sum is σ = 1229534208. Its totient is φ = 156131264.

The previous prime is 468393859. The next prime is 468393901. The reversal of 468393888 is 888393864.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2439456 + ... + 2439647.

It is an arithmetic number, because the mean of its divisors is an integer number (51230592).

Almost surely, 2468393888 is an apocalyptic number.

468393888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468393888 is an abundant number, since it is smaller than the sum of its proper divisors (761140320).

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

468393888 is a wasteful number, since it uses less digits than its factorization.

468393888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879116 (or 4879108 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The square root of 468393888 is about 21642.4094776899. The cubic root of 468393888 is about 776.6113614910.

The spelling of 468393888 in words is "four hundred sixty-eight million, three hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4879103 9758206 14637309 19516412 29274618 39032824 58549236 78065648 117098472 156131296 234196944 468393888