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494241264 = 24341137937
BaseRepresentation
bin11101011101011…
…000010111110000
31021110000001120000
4131131120113300
52003011210024
6121013150000
715150660426
oct3535302760
91243001500
10494241264
11233a93860
1211962b300
137b519b6a
14498d7116
152d5cbcc9
hex1d7585f0

494241264 has 200 divisors, whose sum is σ = 1604407728. Its totient is φ = 145566720.

The previous prime is 494241259. The next prime is 494241299. The reversal of 494241264 is 462142494.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 527004 + ... + 527940.

Almost surely, 2494241264 is an apocalyptic number.

494241264 is a gapful number since it is divisible by the number (44) 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 494241264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802203864).

494241264 is an abundant number, since it is smaller than the sum of its proper divisors (1110166464).

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

494241264 is a wasteful number, since it uses less digits than its factorization.

494241264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 494241264 is about 22231.5375986458. The cubic root of 494241264 is about 790.6416109015.

The spelling of 494241264 in words is "four hundred ninety-four million, two hundred forty-one thousand, two hundred sixty-four".