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492198336 = 2633725813
BaseRepresentation
bin11101010101100…
…101100111000000
31021022011021012000
4131111211213000
52002000321321
6120501304000
715124421400
oct3525454700
91238137160
10492198336
11232918993
12118a05000
137ac83026
1449524800
152d326826
hex1d5659c0

492198336 has 168 divisors, whose sum is σ = 1683501840. Its totient is φ = 140603904.

The previous prime is 492198313. The next prime is 492198337. The reversal of 492198336 is 633891294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×4921983362 = 484518403922337792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 492198291 and 492198300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492198337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81766 + ... + 87578.

Almost surely, 2492198336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841750920).

492198336 is an abundant number, since it is smaller than the sum of its proper divisors (1191303504).

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

492198336 is a wasteful number, since it uses less digits than its factorization.

492198336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5825 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 492198336 is about 22185.5434010529. The cubic root of 492198336 is about 789.5507438717.

The spelling of 492198336 in words is "four hundred ninety-two million, one hundred ninety-eight thousand, three hundred thirty-six".