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26401104 = 24321391319
BaseRepresentation
bin110010010110…
…1100101010000
31211200022111200
41210231211100
523224313404
62341511200
7440256102
oct144554520
954608450
1026401104
11139a25a4
128a12500
135614b72
143713572
1524b7839
hex192d950

26401104 has 60 divisors (see below), whose sum is σ = 74474400. Its totient is φ = 8730432.

The previous prime is 26401103. The next prime is 26401121. The reversal of 26401104 is 40110462.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26401103) 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 11 ways as a sum of consecutive naturals, for example, 19357 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 226401104 is an apocalyptic number.

26401104 is a gapful number since it is divisible by the number (24) 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 26401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237200).

26401104 is an abundant number, since it is smaller than the sum of its proper divisors (48073296).

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

26401104 is a wasteful number, since it uses less digits than its factorization.

26401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1463 counting only the distinct ones).

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

The square root of 26401104 is about 5138.2004631972. The cubic root of 26401104 is about 297.7652611423.

Adding to 26401104 its reverse (40110462), we get a palindrome (66511566).

The spelling of 26401104 in words is "twenty-six million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1319 1668 2224 2502 2638 3336 3957 5004 5276 6672 7914 10008 10552 11871 15828 20016 21104 23742 31656 47484 63312 94968 183341 189936 366682 550023 733364 1100046 1466728 1650069 2200092 2933456 3300138 4400184 6600276 8800368 13200552 26401104