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26131456 = 210132151
BaseRepresentation
bin110001110101…
…1110000000000
31211011121121201
41203223300000
523142201311
62332030544
7435054001
oct143536000
954147551
1026131456
1113828a4a
128902454
13554c200
1436831a8
1524629c1
hex18ebc00

26131456 has 66 divisors (see below), whose sum is σ = 56939352. Its totient is φ = 11980800.

The previous prime is 26131453. The next prime is 26131489. The reversal of 26131456 is 65413162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26131451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172981 + ... + 173131.

Almost surely, 226131456 is an apocalyptic number.

26131456 is a gapful number since it is divisible by the number (26) 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 26131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469676).

26131456 is an abundant number, since it is smaller than the sum of its proper divisors (30807896).

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

26131456 is a wasteful number, since it uses less digits than its factorization.

26131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 26131456 is about 5111.8935826169. The cubic root of 26131456 is about 296.7480470816.

The spelling of 26131456 in words is "twenty-six million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 151 169 208 256 302 338 416 512 604 676 832 1024 1208 1352 1664 1963 2416 2704 3328 3926 4832 5408 6656 7852 9664 10816 13312 15704 19328 21632 25519 31408 38656 43264 51038 62816 77312 86528 102076 125632 154624 173056 204152 251264 408304 502528 816608 1005056 1633216 2010112 3266432 6532864 13065728 26131456