Search a number
-
+
26144046 = 234712273
BaseRepresentation
bin110001110111…
…0110100101110
31211012020220000
41203232310232
523143102141
62332205130
7435135465
oct143566456
954166800
1026144046
1113837455
1289097a6
135554b66
1436879dc
1524665b6
hex18eed2e

26144046 has 40 divisors (see below), whose sum is σ = 59433264. Its totient is φ = 8588160.

The previous prime is 26144033. The next prime is 26144047. The reversal of 26144046 is 64044162.

26144046 is a `hidden beast` number, since 2 + 614 + 4 + 0 + 46 = 666.

It is a super-2 number, since 2×261440462 = 1367022282500232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26144047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10366 + ... + 12638.

Almost surely, 226144046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26144046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29716632).

26144046 is an abundant number, since it is smaller than the sum of its proper divisors (33289218).

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

26144046 is a wasteful number, since it uses less digits than its factorization.

26144046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26144046 is about 5113.1248762376. The cubic root of 26144046 is about 296.7956966535.

The spelling of 26144046 in words is "twenty-six million, one hundred forty-four thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1917 2273 3834 4546 5751 6819 11502 13638 20457 40914 61371 122742 161383 184113 322766 368226 484149 968298 1452447 2904894 4357341 8714682 13072023 26144046