Search a number
-
+
26774528 = 210112377
BaseRepresentation
bin110011000100…
…0110000000000
31212101021202012
41212020300000
523323241103
62353512052
7443402564
oct146106000
955337665
1026774528
1114128110
128b72628
135715b21
1437ad6a4
15253d2d8
hex1988c00

26774528 has 44 divisors (see below), whose sum is σ = 58413192. Its totient is φ = 12165120.

The previous prime is 26774513. The next prime is 26774551. The reversal of 26774528 is 82547762.

It is a tau number, because it is divible by the number of its divisors (44).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10076 + ... + 12452.

Almost surely, 226774528 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 26774528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29206596).

26774528 is an abundant number, since it is smaller than the sum of its proper divisors (31638664).

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

26774528 is a wasteful number, since it uses less digits than its factorization.

26774528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2390 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 26774528 is about 5174.4108843423. The cubic root of 26774528 is about 299.1625831369.

The spelling of 26774528 in words is "twenty-six million, seven hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2377 2816 4754 5632 9508 11264 19016 26147 38032 52294 76064 104588 152128 209176 304256 418352 608512 836704 1217024 1673408 2434048 3346816 6693632 13387264 26774528