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26640042 = 23111361509
BaseRepresentation
bin110010110011…
…1111010101010
31212010110021020
41211213322222
523304440132
62350553310
7442302522
oct145477252
955113236
1026640042
1114046070
128b08836
135699850
143776682
15251352c
hex1967eaa

26640042 has 64 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 7315200.

The previous prime is 26640041. The next prime is 26640073. The reversal of 26640042 is 24004662.

It is a junction number, because it is equal to n+sod(n) for n = 26639994 and 26640021.

It is not an unprimeable number, because it can be changed into a prime (26640041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52084 + ... + 52592.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 226640042 is an apocalyptic number.

26640042 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 26640042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

26640042 is an abundant number, since it is smaller than the sum of its proper divisors (37105878).

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

26640042 is a wasteful number, since it uses less digits than its factorization.

26640042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 26640042 is about 5161.3992288913. The cubic root of 26640042 is about 298.6608534047.

The spelling of 26640042 in words is "twenty-six million, six hundred forty thousand, forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 122 143 183 286 366 429 509 671 793 858 1018 1342 1527 1586 2013 2379 3054 4026 4758 5599 6617 8723 11198 13234 16797 17446 19851 26169 31049 33594 39702 52338 62098 72787 93147 145574 186294 218361 341539 403637 436722 683078 807274 1024617 1210911 2049234 2421822 4440007 8880014 13320021 26640042