Search a number
-
+
26649056 = 257271439
BaseRepresentation
bin110010110101…
…0000111100000
31212010220122002
41211222013200
523310232211
62351103132
7442341020
oct145520740
955126562
1026649056
1114051915
128b11aa8
1356a0995
143779a80
15251603b
hex196a1e0

26649056 has 48 divisors (see below), whose sum is σ = 60318720. Its totient is φ = 11352960.

The previous prime is 26649053. The next prime is 26649067. The reversal of 26649056 is 65094662.

It is a super-2 number, since 2×266490562 = 1420344371382272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26649053) 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 7 ways as a sum of consecutive naturals, for example, 60485 + ... + 60923.

It is an arithmetic number, because the mean of its divisors is an integer number (1256640).

Almost surely, 226649056 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 26649056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159360).

26649056 is an abundant number, since it is smaller than the sum of its proper divisors (33669664).

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

26649056 is a wasteful number, since it uses less digits than its factorization.

26649056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 26649056 is about 5162.2723678628. The cubic root of 26649056 is about 298.6945348500.

The spelling of 26649056 in words is "twenty-six million, six hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 439 542 878 1084 1756 1897 2168 3073 3512 3794 4336 6146 7024 7588 8672 12292 14048 15176 24584 30352 49168 60704 98336 118969 237938 475876 832783 951752 1665566 1903504 3331132 3807008 6662264 13324528 26649056