Search a number
-
+
239413216 = 2572179853
BaseRepresentation
bin11100100010100…
…10011111100000
3121200111110012011
432101102133200
5442242210331
635431242304
75634656500
oct1621223740
9550443164
10239413216
11113162769
1268219394
133a7a6a33
1423b21a00
15160423b1
hexe4527e0

239413216 has 72 divisors (see below), whose sum is σ = 552008520. Its totient is φ = 101912832.

The previous prime is 239413201. The next prime is 239413247. The reversal of 239413216 is 612314932.

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 11 ways as a sum of consecutive naturals, for example, 280246 + ... + 281098.

It is an arithmetic number, because the mean of its divisors is an integer number (7666785).

Almost surely, 2239413216 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 239413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276004260).

239413216 is an abundant number, since it is smaller than the sum of its proper divisors (312595304).

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

239413216 is a wasteful number, since it uses less digits than its factorization.

239413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 239413216 is about 15472.9834227275. The cubic root of 239413216 is about 620.9396227829.

The spelling of 239413216 in words is "two hundred thirty-nine million, four hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 179 196 224 358 392 716 784 853 1253 1432 1568 1706 2506 2864 3412 5012 5728 5971 6824 8771 10024 11942 13648 17542 20048 23884 27296 35084 40096 41797 47768 70168 83594 95536 140336 152687 167188 191072 280672 305374 334376 610748 668752 1068809 1221496 1337504 2137618 2442992 4275236 4885984 7481663 8550472 14963326 17100944 29926652 34201888 59853304 119706608 239413216