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26313872 = 2413731733
BaseRepresentation
bin110010001100…
…0010010010000
31211111212211212
41210120102100
523214020442
62335555252
7436443554
oct144302220
954455755
1026313872
1113943002
12898bb28
1355b4250
1436cd864
15249ba82
hex1918490

26313872 has 40 divisors (see below), whose sum is σ = 55689144. Its totient is φ = 11971584.

The previous prime is 26313851. The next prime is 26313877. The reversal of 26313872 is 27831362.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 25240576 = 1036^2 + 5024^2 .

It is not an unprimeable number, because it can be changed into a prime (26313877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14318 + ... + 16050.

Almost surely, 226313872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26313872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27844572).

26313872 is an abundant number, since it is smaller than the sum of its proper divisors (29375272).

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

26313872 is a wasteful number, since it uses less digits than its factorization.

26313872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1821 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 26313872 is about 5129.7048648046. The cubic root of 26313872 is about 297.4369501299.

The spelling of 26313872 in words is "twenty-six million, three hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1733 1898 3466 3796 6932 7592 13864 15184 22529 27728 45058 90116 126509 180232 253018 360464 506036 1012072 1644617 2024144 3289234 6578468 13156936 26313872