Search a number
-
+
244896480 = 2533583683
BaseRepresentation
bin11101001100011…
…01001011100000
3122001211000211000
432212031023200
51000143141410
640144552000
76032404623
oct1646151340
9561730730
10244896480
11116268394
126a022600
133b97677a
142474bdba
1516776dc0
hexe98d2e0

244896480 has 192 divisors, whose sum is σ = 868734720. Its totient is φ = 64424448.

The previous prime is 244896473. The next prime is 244896527. The reversal of 244896480 is 84698442.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358219 + ... + 358901.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2244896480 is an apocalyptic number.

244896480 is a gapful number since it is divisible by the number (20) 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 244896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

244896480 is an abundant number, since it is smaller than the sum of its proper divisors (623838240).

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

244896480 is a wasteful number, since it uses less digits than its factorization.

244896480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 244896480 is about 15649.1686680156. The cubic root of 244896480 is about 625.6443317769.

The spelling of 244896480 in words is "two hundred forty-four million, eight hundred ninety-six thousand, four hundred eighty".