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26311116 = 22313227743
BaseRepresentation
bin110010001011…
…1100111001100
31211111202001210
41210113213030
523213423431
62335534420
7436432536
oct144274714
954452053
1026311116
1113940a27
12898a410
1355b2c10
1436cc856
15249ad46
hex19179cc

26311116 has 48 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 8049216.

The previous prime is 26311097. The next prime is 26311133. The reversal of 26311116 is 61111362.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26311092 and 26311101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35041 + ... + 35783.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 226311116 is an apocalyptic number.

26311116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26311116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

26311116 is an abundant number, since it is smaller than the sum of its proper divisors (40184628).

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

26311116 is a wasteful number, since it uses less digits than its factorization.

26311116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 26311116 is about 5129.4362263313. The cubic root of 26311116 is about 297.4265656851.

Adding to 26311116 its reverse (61111362), we get a palindrome (87422478).

The spelling of 26311116 in words is "twenty-six million, three hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 227 454 681 743 908 1362 1486 2229 2724 2951 2972 4458 5902 8853 8916 9659 11804 17706 19318 28977 35412 38636 57954 115908 168661 337322 505983 674644 1011966 2023932 2192593 4385186 6577779 8770372 13155558 26311116