Search a number
-
+
26107056 = 2433223271
BaseRepresentation
bin110001110010…
…1110010110000
31211010101011000
41203211302300
523140411211
62331322000
7434622603
oct143456260
954111130
1026107056
1113811688
1288b0300
135541081
14367833a
15245a656
hex18e5cb0

26107056 has 80 divisors (see below), whose sum is σ = 75550720. Its totient is φ = 8631360.

The previous prime is 26107049. The next prime is 26107061. The reversal of 26107056 is 65070162.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 96201 + ... + 96471.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 226107056 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 26107056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37775360).

26107056 is an abundant number, since it is smaller than the sum of its proper divisors (49443664).

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

26107056 is a wasteful number, since it uses less digits than its factorization.

26107056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 26107056 is about 5109.5064340893. The cubic root of 26107056 is about 296.6556564248.

The spelling of 26107056 in words is "twenty-six million, one hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 271 432 446 542 669 813 892 1084 1338 1626 1784 2007 2168 2439 2676 3252 3568 4014 4336 4878 5352 6021 6504 7317 8028 9756 10704 12042 13008 14634 16056 19512 24084 29268 32112 39024 48168 58536 60433 96336 117072 120866 181299 241732 362598 483464 543897 725196 966928 1087794 1450392 1631691 2175588 2900784 3263382 4351176 6526764 8702352 13053528 26107056