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2538256 = 247131173
BaseRepresentation
bin1001101011101100010000
311202221211111
421223230100
51122211011
6130223104
730401110
oct11535420
94687744
102538256
111484036
12a24a94
136ab436
144a1040
15352121
hex26bb10

2538256 has 40 divisors (see below), whose sum is σ = 5696064. Its totient is φ = 1073280.

The previous prime is 2538241. The next prime is 2538281. The reversal of 2538256 is 6528352.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14586 + ... + 14758.

22538256 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 2538256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848032).

2538256 is an abundant number, since it is smaller than the sum of its proper divisors (3157808).

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

2538256 is a wasteful number, since it uses less digits than its factorization.

2538256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 2538256 is about 1593.1905096378. The cubic root of 2538256 is about 136.4096644081.

The spelling of 2538256 in words is "two million, five hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 173 262 346 524 692 917 1048 1211 1384 1834 2096 2422 2768 3668 4844 7336 9688 14672 19376 22663 45326 90652 158641 181304 317282 362608 634564 1269128 2538256