| Base | Representation |
|---|---|
| bin | 110010011101… |
| … | …1000101010000 |
| 3 | 1211210010100200 |
| 4 | 1210323011100 |
| 5 | 23233101100 |
| 6 | 2343015200 |
| 7 | 440606235 |
| oct | 144730520 |
| 9 | 54703320 |
| 10 | 26456400 |
| 11 | 13a300a3 |
| 12 | 8a3a500 |
| 13 | 5634099 |
| 14 | 372978c |
| 15 | 24c8e00 |
| hex | 193b150 |
26456400 has 90 divisors (see below), whose sum is σ = 91823550. Its totient is φ = 7054080.
The previous prime is 26456387. The next prime is 26456401. The reversal of 26456400 is 465462.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 3069504 + 23386896 = 1752^2 + 4836^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a super-2 number, since 2×264564002 = 1399882201920000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (26456401) 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 17 ways as a sum of consecutive naturals, for example, 75 + ... + 7274.
Almost surely, 226456400 is an apocalyptic number.
26456400 is a gapful number since it is divisible by the number (20) 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 26456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45911775).
26456400 is an abundant number, since it is smaller than the sum of its proper divisors (65367150).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26456400 is a wasteful number, since it uses less digits than its factorization.
26456400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7373 (or 7359 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 26456400 is about 5143.5785208355. The cubic root of 26456400 is about 297.9730017731.
It can be divided in two parts, 2645 and 6400, that added together give a triangular number (9045 = T134).
The spelling of 26456400 in words is "twenty-six million, four hundred fifty-six thousand, four hundred".
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