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26663328 = 253292581
BaseRepresentation
bin110010110110…
…1100110100000
31212011122012200
41211231212200
523311211303
62351253200
7442430436
oct145554640
955148180
1026663328
111406160a
128b1a200
1356a7323
143780d56
15251a3a3
hex196d9a0

26663328 has 36 divisors (see below), whose sum is σ = 75824658. Its totient is φ = 8887680.

The previous prime is 26663321. The next prime is 26663333. The reversal of 26663328 is 82336662.

It can be written as a sum of positive squares in only one way, i.e., 25522704 + 1140624 = 5052^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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.

It is a junction number, because it is equal to n+sod(n) for n = 26663292 and 26663301.

It is not an unprimeable number, because it can be changed into a prime (26663321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46003 + ... + 46578.

Almost surely, 226663328 is an apocalyptic number.

It is an amenable number.

26663328 is an abundant number, since it is smaller than the sum of its proper divisors (49161330).

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

26663328 is a wasteful number, since it uses less digits than its factorization.

26663328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92597 (or 92586 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 26663328 is about 5163.6545198144. The cubic root of 26663328 is about 298.7478476529.

The spelling of 26663328 in words is "twenty-six million, six hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 92581 185162 277743 370324 555486 740648 833229 1110972 1481296 1666458 2221944 2962592 3332916 4443888 6665832 8887776 13331664 26663328