Search a number
-
+
26086428 = 2233298329
BaseRepresentation
bin110001110000…
…0110000011100
31211002022212000
41203200300130
523134231203
62331042300
7434505504
oct143406034
954068760
1026086428
11137a8135
1288a0390
135534874
143670a04
1524544a3
hex18e0c1c

26086428 has 48 divisors (see below), whose sum is σ = 69972000. Its totient is φ = 8394624.

The previous prime is 26086427. The next prime is 26086433. The reversal of 26086428 is 82468062.

26086428 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 642 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26086392 and 26086401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26086421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033 + ... + 7296.

It is an arithmetic number, because the mean of its divisors is an integer number (1457750).

Almost surely, 226086428 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 26086428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34986000).

26086428 is an abundant number, since it is smaller than the sum of its proper divisors (43885572).

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

26086428 is a wasteful number, since it uses less digits than its factorization.

26086428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26086428 is about 5107.4874449185. The cubic root of 26086428 is about 296.5775035390.

The spelling of 26086428 in words is "twenty-six million, eighty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 8329 16658 24987 33316 49974 74961 99948 149922 224883 241541 299844 449766 483082 724623 899532 966164 1449246 2173869 2898492 4347738 6521607 8695476 13043214 26086428