Search a number
-
+
5098176 = 263253167
BaseRepresentation
bin10011011100101011000000
3100121000101100
4103130223000
52301120201
6301134400
761222326
oct23345300
910530340
105098176
112972376
12185a400
131096695
14969d16
156aa886
hex4dcac0

5098176 has 84 divisors (see below), whose sum is σ = 14977872. Its totient is φ = 1657344.

The previous prime is 5098169. The next prime is 5098189. The reversal of 5098176 is 6718905.

5098176 is a `hidden beast` number, since 509 + 81 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5098176.

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, 30445 + ... + 30611.

It is an arithmetic number, because the mean of its divisors is an integer number (178308).

Almost surely, 25098176 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 5098176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488936).

5098176 is an abundant number, since it is smaller than the sum of its proper divisors (9879696).

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

5098176 is a wasteful number, since it uses less digits than its factorization.

5098176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5098176 is about 2257.9140816249. The cubic root of 5098176 is about 172.1095390223.

The spelling of 5098176 in words is "five million, ninety-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 167 192 212 288 318 334 424 477 501 576 636 668 848 954 1002 1272 1336 1503 1696 1908 2004 2544 2672 3006 3392 3816 4008 5088 5344 6012 7632 8016 8851 10176 10688 12024 15264 16032 17702 24048 26553 30528 32064 35404 48096 53106 70808 79659 96192 106212 141616 159318 212424 283232 318636 424848 566464 637272 849696 1274544 1699392 2549088 5098176