Search a number
-
+
244810016 = 25114116963
BaseRepresentation
bin11101001011110…
…00000100100000
3122001122122012122
432211320010200
51000132410031
640143043412
76031564553
oct1645700440
9561578178
10244810016
11116209430
1269ba0568
133b9462c9
142472869a
151675b47b
hexe978120

244810016 has 48 divisors (see below), whose sum is σ = 538640928. Its totient is φ = 108556800.

The previous prime is 244810009. The next prime is 244810031. The reversal of 244810016 is 610018442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5951 + ... + 22913.

It is an arithmetic number, because the mean of its divisors is an integer number (11221686).

Almost surely, 2244810016 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 244810016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269320464).

244810016 is an abundant number, since it is smaller than the sum of its proper divisors (293830912).

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

244810016 is a wasteful number, since it uses less digits than its factorization.

244810016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025 (or 17017 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 244810016 is about 15646.4058492677. The cubic root of 244810016 is about 625.5706923910.

Adding to 244810016 its reverse (610018442), we get a palindrome (854828458).

The spelling of 244810016 in words is "two hundred forty-four million, eight hundred ten thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 16963 33926 67852 135704 186593 271408 373186 542816 695483 746372 1390966 1492744 2781932 2985488 5563864 5970976 7650313 11127728 15300626 22255456 30601252 61202504 122405008 244810016