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26265042 = 23237113349
BaseRepresentation
bin110010000110…
…0010111010010
31211102101212100
41210030113102
523210440132
62334541230
7436151316
oct144142722
954371770
1026265042
111390a351
128967816
135597c5b
1436b9b46
15248c37c
hex190c5d2

26265042 has 48 divisors (see below), whose sum is σ = 59131800. Its totient is φ = 8418816.

The previous prime is 26265013. The next prime is 26265059. The reversal of 26265042 is 24056262.

26265042 is a `hidden beast` number, since 2 + 6 + 2 + 650 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22838841 + 3426201 = 4779^2 + 1851^2 .

It is a super-3 number, since 3×262650423 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26264997 and 26265015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75084 + ... + 75432.

Almost surely, 226265042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26265042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29565900).

26265042 is an abundant number, since it is smaller than the sum of its proper divisors (32866758).

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

26265042 is a wasteful number, since it uses less digits than its factorization.

26265042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

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

The square root of 26265042 is about 5124.9431216356. The cubic root of 26265042 is about 297.2528540836.

The spelling of 26265042 in words is "twenty-six million, two hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 349 666 678 698 1017 1047 2034 2094 3141 4181 6282 8362 12543 12913 25086 25826 37629 38739 39437 75258 77478 78874 116217 118311 232434 236622 354933 709866 1459169 2918338 4377507 8755014 13132521 26265042