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2398256 = 24731923
BaseRepresentation
bin1001001001100000110000
311111211210022
421021200300
51103221011
6123223012
726246000
oct11114060
94454708
102398256
111398933
12977a68
1365c7b3
14466000
153258db
hex249830

2398256 has 80 divisors (see below), whose sum is σ = 5952000. Its totient is φ = 931392.

The previous prime is 2398247. The next prime is 2398259. The reversal of 2398256 is 6528932.

It is not an unprimeable number, because it can be changed into a prime (2398259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104261 + ... + 104283.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

22398256 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 2398256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976000).

2398256 is an abundant number, since it is smaller than the sum of its proper divisors (3553744).

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

2398256 is a wasteful number, since it uses less digits than its factorization.

2398256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 2398256 is about 1548.6303626108. The cubic root of 2398256 is about 133.8541518506.

The spelling of 2398256 in words is "two million, three hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 49 56 76 92 98 112 133 152 161 184 196 266 304 322 343 368 392 437 532 644 686 784 874 931 1064 1127 1288 1372 1748 1862 2128 2254 2576 2744 3059 3496 3724 4508 5488 6118 6517 6992 7448 7889 9016 12236 13034 14896 15778 18032 21413 24472 26068 31556 42826 48944 52136 63112 85652 104272 126224 149891 171304 299782 342608 599564 1199128 2398256