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26237142 = 233975009
BaseRepresentation
bin110010000010…
…1100011010110
31211100222121000
41210011203112
523204042032
62334204130
7436004061
oct144054326
954328530
1026237142
11138a0398
128953646
135588349
1436ad8d8
152483e7c
hex19058d6

26237142 has 32 divisors (see below), whose sum is σ = 58917600. Its totient is φ = 8653824.

The previous prime is 26237117. The next prime is 26237147. The reversal of 26237142 is 24173262.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26237147) 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 15 ways as a sum of consecutive naturals, for example, 2734 + ... + 7742.

It is an arithmetic number, because the mean of its divisors is an integer number (1841175).

Almost surely, 226237142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26237142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29458800).

26237142 is an abundant number, since it is smaller than the sum of its proper divisors (32680458).

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

26237142 is a wasteful number, since it uses less digits than its factorization.

26237142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5111 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 26237142 is about 5122.2204169676. The cubic root of 26237142 is about 297.1475646664.

The spelling of 26237142 in words is "twenty-six million, two hundred thirty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5009 5238 10018 15027 30054 45081 90162 135243 270486 485873 971746 1457619 2915238 4372857 8745714 13118571 26237142