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26814942 = 2337116449
BaseRepresentation
bin110011001001…
…0100111011110
31212110100012000
41212102213132
523331034232
62354423130
7443631450
oct146224736
955410160
1026814942
1114155510
128b91aa6
13572b33b
1437c02d0
15254a27c
hex19929de

26814942 has 64 divisors (see below), whose sum is σ = 74304000. Its totient is φ = 6963840.

The previous prime is 26814923. The next prime is 26814959. The reversal of 26814942 is 24941862.

It is a super-2 number, since 2×268149422 = 1438082228926728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26814897 and 26814906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934 + ... + 7382.

It is an arithmetic number, because the mean of its divisors is an integer number (1161000).

Almost surely, 226814942 is an apocalyptic number.

26814942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26814942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37152000).

26814942 is an abundant number, since it is smaller than the sum of its proper divisors (47489058).

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

26814942 is a wasteful number, since it uses less digits than its factorization.

26814942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6472 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 26814942 is about 5178.3145906752. The cubic root of 26814942 is about 299.3130280994.

Subtracting from 26814942 its reverse (24941862), we obtain a triangular number (1873080 = T1935).

The spelling of 26814942 in words is "twenty-six million, eight hundred fourteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 6449 12898 19347 38694 45143 58041 70939 90286 116082 135429 141878 174123 212817 270858 348246 406287 425634 496573 638451 812574 993146 1218861 1276902 1489719 1915353 2437722 2979438 3830706 4469157 8938314 13407471 26814942