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26909129 = 1329137521
BaseRepresentation
bin110011010100…
…1100111001001
31212122010101102
41212221213021
523342043004
62400431145
7444503162
oct146514711
955563342
1026909129
111420a255
1290184b5
135762180
143806769
15256811e
hex19a99c9

26909129 has 16 divisors (see below), whose sum is σ = 30255120. Its totient is φ = 23761920.

The previous prime is 26909123. The next prime is 26909131. The reversal of 26909129 is 92190962.

It can be written as a sum of positive squares in 8 ways, for example, as 1638400 + 25270729 = 1280^2 + 5027^2 .

It is a de Polignac number, because none of the positive numbers 2k-26909129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26909092 and 26909101.

It is not an unprimeable number, because it can be changed into a prime (26909123) by changing a digit.

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, 51389 + ... + 51909.

It is an arithmetic number, because the mean of its divisors is an integer number (1890945).

Almost surely, 226909129 is an apocalyptic number.

26909129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

26909129 is a deficient number, since it is larger than the sum of its proper divisors (3345991).

26909129 is a wasteful number, since it uses less digits than its factorization.

26909129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700.

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 26909129 is about 5187.4009870069. The cubic root of 26909129 is about 299.6630624594.

The spelling of 26909129 in words is "twenty-six million, nine hundred nine thousand, one hundred twenty-nine".

Divisors: 1 13 29 137 377 521 1781 3973 6773 15109 51649 71377 196417 927901 2069933 26909129