Search a number
-
+
5198256 = 24357191
BaseRepresentation
bin10011110101000110110000
3100210002200000
4103311012300
52312321011
6303230000
762120160
oct23650660
910702600
105198256
112a30588
1218a8300
1311000bb
149945a0
156ca356
hex4f51b0

5198256 has 120 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 1477440.

The previous prime is 5198251. The next prime is 5198261. The reversal of 5198256 is 6528915.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5198251) and next prime (5198261).

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

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 5198256.

It is not an unprimeable number, because it can be changed into a prime (5198251) 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 23 ways as a sum of consecutive naturals, for example, 27121 + ... + 27311.

Almost surely, 25198256 is an apocalyptic number.

5198256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5198256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

5198256 is an abundant number, since it is smaller than the sum of its proper divisors (12133968).

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

5198256 is a wasteful number, since it uses less digits than its factorization.

5198256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5198256 is about 2279.9684208339. The cubic root of 5198256 is about 173.2284506846.

The spelling of 5198256 in words is "five million, one hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 191 216 243 252 324 336 378 382 432 486 504 567 573 648 756 764 972 1008 1134 1146 1296 1337 1512 1528 1701 1719 1944 2268 2292 2674 3024 3056 3402 3438 3888 4011 4536 4584 5157 5348 6804 6876 8022 9072 9168 10314 10696 12033 13608 13752 15471 16044 20628 21392 24066 27216 27504 30942 32088 36099 41256 46413 48132 61884 64176 72198 82512 92826 96264 108297 123768 144396 185652 192528 216594 247536 288792 324891 371304 433188 577584 649782 742608 866376 1299564 1732752 2599128 5198256