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26769042 = 2341491109
BaseRepresentation
bin110011000011…
…1011010010010
31212101000020000
41212013122102
523323102132
62353430430
7443350566
oct146073222
955330200
1026769042
1114123a83
128b6b416
135713491
1437ab6a6
15253b87c
hex1987692

26769042 has 40 divisors (see below), whose sum is σ = 60439500. Its totient is φ = 8855136.

The previous prime is 26769013. The next prime is 26769047. The reversal of 26769042 is 24096762.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19527561 + 7241481 = 4419^2 + 2691^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26768988 and 26769006.

It is not an unprimeable number, because it can be changed into a prime (26769047) 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, 23584 + ... + 24692.

Almost surely, 226769042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26769042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30219750).

26769042 is an abundant number, since it is smaller than the sum of its proper divisors (33670458).

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

26769042 is a wasteful number, since it uses less digits than its factorization.

26769042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 26769042 is about 5173.8807485291. The cubic root of 26769042 is about 299.1421493121.

The spelling of 26769042 in words is "twenty-six million, seven hundred sixty-nine thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1109 1341 2218 2682 3327 4023 6654 8046 9981 12069 19962 24138 29943 59886 89829 165241 179658 330482 495723 991446 1487169 2974338 4461507 8923014 13384521 26769042