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5438256 = 243196789
BaseRepresentation
bin10100101111101100110000
3101020021212220
4110233230300
52343011011
6312321040
764136655
oct24575460
911207786
105438256
11308492a
1219a3180
131185405
14a17c2c
15726506
hex52fb30

5438256 has 80 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1672704.

The previous prime is 5438233. The next prime is 5438263. The reversal of 5438256 is 6528345.

Its product of digits (28800) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61060 + ... + 61148.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 25438256 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 5438256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

5438256 is an abundant number, since it is smaller than the sum of its proper divisors (9739344).

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

5438256 is a wasteful number, since it uses less digits than its factorization.

5438256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5438256 is about 2332.0068610534. The cubic root of 5438256 is about 175.8543905860.

The spelling of 5438256 in words is "five million, four hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 89 114 134 152 178 201 228 267 268 304 356 402 456 534 536 712 804 912 1068 1072 1273 1424 1608 1691 2136 2546 3216 3382 3819 4272 5073 5092 5963 6764 7638 10146 10184 11926 13528 15276 17889 20292 20368 23852 27056 30552 35778 40584 47704 61104 71556 81168 95408 113297 143112 226594 286224 339891 453188 679782 906376 1359564 1812752 2719128 5438256