Search a number
-
+
5198688 = 253311547
BaseRepresentation
bin10011110101001101100000
3100210010021000
4103311031200
52312324223
6303232000
762121345
oct23651540
910703230
105198688
112a30940
1218a8600
131100361
149947cc
156ca543
hex4f5360

5198688 has 96 divisors (see below), whose sum is σ = 16571520. Its totient is φ = 1572480.

The previous prime is 5198681. The next prime is 5198689. The reversal of 5198688 is 8868915.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5198681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9231 + ... + 9777.

It is an arithmetic number, because the mean of its divisors is an integer number (172620).

Almost surely, 25198688 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 5198688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285760).

5198688 is an abundant number, since it is smaller than the sum of its proper divisors (11372832).

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

5198688 is a wasteful number, since it uses less digits than its factorization.

5198688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 563 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 5198688 is about 2280.0631570200. The cubic root of 5198688 is about 173.2332492566.

It can be divided in two parts, 5198 and 688, that added together give a triangular number (5886 = T108).

The spelling of 5198688 in words is "five million, one hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 547 594 792 864 1056 1094 1188 1584 1641 2188 2376 3168 3282 4376 4752 4923 6017 6564 8752 9504 9846 12034 13128 14769 17504 18051 19692 24068 26256 29538 36102 39384 48136 52512 54153 59076 72204 78768 96272 108306 118152 144408 157536 162459 192544 216612 236304 288816 324918 433224 472608 577632 649836 866448 1299672 1732896 2599344 5198688