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492400032 = 25331165457
BaseRepresentation
bin11101010110010…
…110110110100000
31021022112111212020
4131112112312200
52002023300112
6120505501440
715126221415
oct3526266640
91238474766
10492400032
11232a46483
12118aa1880
137b023a87
144957810c
152d36648c
hex1d596da0

492400032 has 48 divisors (see below), whose sum is σ = 1334253312. Its totient is φ = 158837760.

The previous prime is 492399967. The next prime is 492400043. The reversal of 492400032 is 230004294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 492399975 and 492400011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79753 + ... + 85704.

It is an arithmetic number, because the mean of its divisors is an integer number (27796944).

Almost surely, 2492400032 is an apocalyptic number.

It is an amenable number.

492400032 is an abundant number, since it is smaller than the sum of its proper divisors (841853280).

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

492400032 is a wasteful number, since it uses less digits than its factorization.

492400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165501 (or 165493 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 492400032 is about 22190.0885982909. The cubic root of 492400032 is about 789.6585780972.

The spelling of 492400032 in words is "four hundred ninety-two million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 165457 330914 496371 661828 992742 1323656 1985484 2647312 3970968 5129167 5294624 7941936 10258334 15387501 15883872 20516668 30775002 41033336 61550004 82066672 123100008 164133344 246200016 492400032