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493066440 = 2336537457
BaseRepresentation
bin11101011000111…
…001100011001000
31021100210101000000
4131120321203020
52002211111230
6120532043000
715134665326
oct3530714310
91240711000
10493066440
11233361129
12119163460
137b1c81b9
14496acd16
152d448b60
hex1d6398c8

493066440 has 224 divisors, whose sum is σ = 1712031480. Its totient is φ = 127650816.

The previous prime is 493066429. The next prime is 493066513. The reversal of 493066440 is 44660394.

493066440 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 6 + 644 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 492573636 + 492804 = 22194^2 + 702^2 .

It is a super-2 number, since 2×4930664402 = 486229028508547200, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 493066395 and 493066404.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1078692 + ... + 1079148.

Almost surely, 2493066440 is an apocalyptic number.

493066440 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 493066440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856015740).

493066440 is an abundant number, since it is smaller than the sum of its proper divisors (1218965040).

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

493066440 is a wasteful number, since it uses less digits than its factorization.

493066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 493066440 is about 22205.0994143237. The cubic root of 493066440 is about 790.0146554991.

The spelling of 493066440 in words is "four hundred ninety-three million, sixty-six thousand, four hundred forty".