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492386640 = 243517231229
BaseRepresentation
bin11101010110010…
…011100101010000
31021022111211111020
4131112103211100
52002022333030
6120505315440
715126134364
oct3526234520
91238454436
10492386640
11232a37409
12118a95b80
137b01a955
14495732a4
152d362510
hex1d593950

492386640 has 240 divisors, whose sum is σ = 1681082880. Its totient is φ = 119070720.

The previous prime is 492386611. The next prime is 492386701. The reversal of 492386640 is 46683294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 492386592 and 492386601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150046 + ... + 2150274.

It is an arithmetic number, because the mean of its divisors is an integer number (7004512).

Almost surely, 2492386640 is an apocalyptic number.

492386640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840541440).

492386640 is an abundant number, since it is smaller than the sum of its proper divisors (1188696240).

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

492386640 is a wasteful number, since it uses less digits than its factorization.

492386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 492386640 is about 22189.7868398955. The cubic root of 492386640 is about 789.6514191459.

The spelling of 492386640 in words is "four hundred ninety-two million, three hundred eighty-six thousand, six hundred forty".