Search a number
-
+
5189904 = 2432231567
BaseRepresentation
bin10011110011000100010000
3100202200012200
4103303010100
52312034104
6303123200
762053626
oct23630420
910680180
105189904
112a25285
1218a3500
1310c9365
14991516
156c7b39
hex4f3110

5189904 has 60 divisors (see below), whose sum is σ = 15165696. Its totient is φ = 1653696.

The previous prime is 5189893. The next prime is 5189917. The reversal of 5189904 is 4099815.

5189904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2529 + ... + 4095.

Almost surely, 25189904 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 5189904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582848).

5189904 is an abundant number, since it is smaller than the sum of its proper divisors (9975792).

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

5189904 is a wasteful number, since it uses less digits than its factorization.

5189904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5189904 is about 2278.1360802200. The cubic root of 5189904 is about 173.1356259905.

The spelling of 5189904 in words is "five million, one hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1567 1656 3134 3312 4701 6268 9402 12536 14103 18804 25072 28206 36041 37608 56412 72082 75216 108123 112824 144164 216246 225648 288328 324369 432492 576656 648738 864984 1297476 1729968 2594952 5189904