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26893056 = 28319297
BaseRepresentation
bin110011010010…
…1101100000000
31212121022100010
41212211230000
523341034211
62400224520
7444405261
oct146455400
955538303
1026893056
11141a9173
12900b140
135757a68
143800968
1525634a6
hex19a5b00

26893056 has 108 divisors (see below), whose sum is σ = 76318872. Its totient is φ = 8404992.

The previous prime is 26893051. The next prime is 26893057. The reversal of 26893056 is 65039862.

It is a super-2 number, since 2×268930562 = 1446472922038272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26893051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277200 + ... + 277296.

Almost surely, 226893056 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 26893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38159436).

26893056 is an abundant number, since it is smaller than the sum of its proper divisors (49425816).

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

26893056 is an equidigital number, since it uses as much as digits as its factorization.

26893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 26893056 is about 5185.8515212065. The cubic root of 26893056 is about 299.6033870026.

The spelling of 26893056 in words is "twenty-six million, eight hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 97 114 128 152 192 194 228 256 291 304 361 384 388 456 582 608 722 768 776 912 1083 1164 1216 1444 1552 1824 1843 2166 2328 2432 2888 3104 3648 3686 4332 4656 4864 5529 5776 6208 7296 7372 8664 9312 11058 11552 12416 14592 14744 17328 18624 22116 23104 24832 29488 34656 35017 37248 44232 46208 58976 69312 70034 74496 88464 92416 105051 117952 138624 140068 176928 210102 235904 277248 280136 353856 420204 471808 560272 707712 840408 1120544 1415424 1680816 2241088 3361632 4482176 6723264 8964352 13446528 26893056