Base | Representation |
---|---|
bin | 110010010100… |
… | …0110001000000 |
3 | 1211122022110000 |
4 | 1210220301000 |
5 | 23223201001 |
6 | 2341240000 |
7 | 440144430 |
oct | 144506100 |
9 | 54568400 |
10 | 26381376 |
11 | 1398979a |
12 | 8a03000 |
13 | 5608ba8 |
14 | 370a2c0 |
15 | 24b1a86 |
hex | 1928c40 |
26381376 has 140 divisors (see below), whose sum is σ = 89497408. Its totient is φ = 7527168.
The previous prime is 26381357. The next prime is 26381393. The reversal of 26381376 is 67318362.
It is a happy number.
26381376 is a `hidden beast` number, since 2 + 638 + 13 + 7 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 26381376.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35925 + ... + 36651.
Almost surely, 226381376 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 26381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44748704).
26381376 is an abundant number, since it is smaller than the sum of its proper divisors (63116032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26381376 is an equidigital number, since it uses as much as digits as its factorization.
26381376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 758 (or 739 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 26381376 is about 5136.2803661794. The cubic root of 26381376 is about 297.6910751429.
26381376 divided by its product of digits (36288) gives a palindrome (727).
It can be divided in two parts, 2 and 6381376, that added together give a triangular number (6381378 = T3572).
The spelling of 26381376 in words is "twenty-six million, three hundred eighty-one thousand, three hundred seventy-six".
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