Search a number
-
+
493549056 = 293271113107
BaseRepresentation
bin11101011010101…
…111011000000000
31021101200220000200
4131122233120000
52002322032211
6120550245200
715142045350
oct3532573000
91241626020
10493549056
11233660790
12119356800
137b336a80
1449796b60
152d4e1b56
hex1d6af600

493549056 has 480 divisors, whose sum is σ = 1930376448. Its totient is φ = 117227520.

The previous prime is 493549039. The next prime is 493549093. The reversal of 493549056 is 650945394.

It is a super-2 number, since 2×4935490562 = 487181341356982272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 4612555 + ... + 4612661.

Almost surely, 2493549056 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 493549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

493549056 is an abundant number, since it is smaller than the sum of its proper divisors (1436827392).

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

493549056 is a wasteful number, since it uses less digits than its factorization.

493549056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 493549056 is about 22215.9639898880. The cubic root of 493549056 is about 790.2723282670.

The spelling of 493549056 in words is "four hundred ninety-three million, five hundred forty-nine thousand, fifty-six".