Search a number
-
+
5216904 = 2332711941
BaseRepresentation
bin10011111001101010001000
3100211001020200
4103321222020
52313420104
6303452200
762225430
oct23715210
910731220
105216904
112a435a0
1218b7060
131108734
1499b2c0
156d0b39
hex4f9a88

5216904 has 96 divisors (see below), whose sum is σ = 17634240. Its totient is φ = 1353600.

The previous prime is 5216873. The next prime is 5216917. The reversal of 5216904 is 4096125.

5216904 = 772 + 782 + ... + 2522.

5216904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 5074 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (183690).

Almost surely, 25216904 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 5216904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817120).

5216904 is an abundant number, since it is smaller than the sum of its proper divisors (12417336).

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

5216904 is a wasteful number, since it uses less digits than its factorization.

5216904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5216904 is about 2284.0542900728. The cubic root of 5216904 is about 173.4353475749.

The spelling of 5216904 in words is "five million, two hundred sixteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 941 1386 1848 1882 2772 2823 3764 5544 5646 6587 7528 8469 10351 11292 13174 16938 19761 20702 22584 26348 31053 33876 39522 41404 52696 59283 62106 67752 72457 79044 82808 93159 118566 124212 144914 158088 186318 217371 237132 248424 289828 372636 434742 474264 579656 652113 745272 869484 1304226 1738968 2608452 5216904