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492467640 = 233572611373
BaseRepresentation
bin11101010110100…
…111010110111000
31021022122221121020
4131112213112320
52002032431030
6120511142440
715126622500
oct3526472670
91238587536
10492467640
11232a92255
12118b14a20
137b048792
1449594a00
152d37b510
hex1d5a75b8

492467640 has 192 divisors, whose sum is σ = 1748057760. Its totient is φ = 110638080.

The previous prime is 492467561. The next prime is 492467641. The reversal of 492467640 is 46764294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 492467592 and 492467601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492467641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 357994 + ... + 359366.

Almost surely, 2492467640 is an apocalyptic number.

492467640 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 492467640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874028880).

492467640 is an abundant number, since it is smaller than the sum of its proper divisors (1255590120).

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

492467640 is a wasteful number, since it uses less digits than its factorization.

492467640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 492467640 is about 22191.6119288347. The cubic root of 492467640 is about 789.6947172730.

The spelling of 492467640 in words is "four hundred ninety-two million, four hundred sixty-seven thousand, six hundred forty".