Search a number
-
+
502246656 = 283453457
BaseRepresentation
bin11101111011111…
…010110100000000
31022000001202220000
4131323322310000
52012033343111
6121500520000
715306011652
oct3573726400
91260052800
10502246656
1123856138a
12120250000
1380090892
144a9bc6d2
152e15dc56
hex1defad00

502246656 has 180 divisors, whose sum is σ = 1529204292. Its totient is φ = 163897344.

The previous prime is 502246601. The next prime is 502246663. The reversal of 502246656 is 656642205.

It can be written as a sum of positive squares in 2 ways, for example, as 400640256 + 101606400 = 20016^2 + 10080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 502246656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1098780 + ... + 1099236.

Almost surely, 2502246656 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 502246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764602146).

502246656 is an abundant number, since it is smaller than the sum of its proper divisors (1026957636).

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

502246656 is an equidigital number, since it uses as much as digits as its factorization.

502246656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 502246656 is about 22410.8602244537. The cubic root of 502246656 is about 794.8875312596.

The spelling of 502246656 in words is "five hundred two million, two hundred forty-six thousand, six hundred fifty-six".