Search a number
-
+
26042256 = 2433232621
BaseRepresentation
bin110001101010…
…1111110010000
31211000002021000
41203111332100
523131323011
62330102000
7434232642
oct143257620
954002230
1026042256
1113777a29
12887a900
13551a726
14365c892
152446356
hex18d5f90

26042256 has 80 divisors (see below), whose sum is σ = 78030720. Its totient is φ = 8300160.

The previous prime is 26042243. The next prime is 26042267. The reversal of 26042256 is 65224062.

26042256 is a `hidden beast` number, since 2 + 604 + 2 + 2 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626 + ... + 11246.

It is an arithmetic number, because the mean of its divisors is an integer number (975384).

Almost surely, 226042256 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 26042256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39015360).

26042256 is an abundant number, since it is smaller than the sum of its proper divisors (51988464).

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

26042256 is a wasteful number, since it uses less digits than its factorization.

26042256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 26042256 is about 5103.1613731098. The cubic root of 26042256 is about 296.4100112995.

The spelling of 26042256 in words is "twenty-six million, forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 2621 3312 4968 5242 7863 9936 10484 15726 20968 23589 31452 41936 47178 60283 62904 70767 94356 120566 125808 141534 180849 188712 241132 283068 361698 377424 482264 542547 566136 723396 964528 1085094 1132272 1446792 1627641 2170188 2893584 3255282 4340376 6510564 8680752 13021128 26042256