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26112042 = 23211219631
BaseRepresentation
bin110001110011…
…1000000101010
31211010121222200
41203213000222
523141041132
62331401030
7434643255
oct143470052
954117880
1026112042
1113815400
1288b3176
135543418
14367a09c
15245bd7c
hex18e702a

26112042 has 72 divisors (see below), whose sum is σ = 65563680. Its totient is φ = 7484400.

The previous prime is 26112041. The next prime is 26112059. The reversal of 26112042 is 24021162.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (26112041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 41067 + ... + 41697.

Almost surely, 226112042 is an apocalyptic number.

26112042 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 26112042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32781840).

26112042 is an abundant number, since it is smaller than the sum of its proper divisors (39451638).

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

26112042 is a wasteful number, since it uses less digits than its factorization.

26112042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26112042 is about 5109.9943248501. The cubic root of 26112042 is about 296.6745406038.

It can be divided in two parts, 261120 and 42, that added together give a palindrome (261162).

The spelling of 26112042 in words is "twenty-six million, one hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 631 726 1089 1254 1262 1881 1893 2178 2299 3762 3786 4598 5679 6897 6941 11358 11989 13794 13882 20691 20823 23978 35967 41382 41646 62469 71934 76351 107901 124938 131879 152702 215802 229053 263758 395637 458106 687159 791274 1186911 1374318 1450669 2373822 2901338 4352007 8704014 13056021 26112042