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26282048 = 2613311019
BaseRepresentation
bin110010001000…
…0100001000000
31211110021012012
41210100201000
523212011143
62335152052
7436252022
oct144204100
954407165
1026282048
1113921101
128975628
1355a2910
1436c2012
152492418
hex1910840

26282048 has 56 divisors (see below), whose sum is σ = 58033920. Its totient is φ = 11727360.

The previous prime is 26282041. The next prime is 26282083. The reversal of 26282048 is 84028262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (26282041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25283 + ... + 26301.

It is an arithmetic number, because the mean of its divisors is an integer number (1036320).

Almost surely, 226282048 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 26282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016960).

26282048 is an abundant number, since it is smaller than the sum of its proper divisors (31751872).

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

26282048 is a wasteful number, since it uses less digits than its factorization.

26282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 26282048 is about 5126.6019935236. The cubic root of 26282048 is about 297.3169949978.

The spelling of 26282048 in words is "twenty-six million, two hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1019 1612 1984 2038 3224 4076 6448 8152 12896 13247 16304 25792 26494 31589 32608 52988 63178 65216 105976 126356 211952 252712 410657 423904 505424 821314 847808 1010848 1642628 2021696 3285256 6570512 13141024 26282048