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26628349 = 112312229
BaseRepresentation
bin110010110010…
…1000011111101
31212002212020011
41211211003331
523304101344
62350423221
7442223446
oct145450375
955085204
1026628349
1114038300
128b01b11
135694427
1437722cd
15250ed34
hex19650fd

26628349 has 18 divisors (see below), whose sum is σ = 30375870. Its totient is φ = 23324400.

The previous prime is 26628323. The next prime is 26628359. The reversal of 26628349 is 94382662.

It can be written as a sum of positive squares in only one way, i.e., 26163225 + 465124 = 5115^2 + 682^2 .

It is not a de Polignac number, because 26628349 - 213 = 26620157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26628359) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116167 + ... + 116395.

Almost surely, 226628349 is an apocalyptic number.

It is an amenable number.

26628349 is a deficient number, since it is larger than the sum of its proper divisors (3747521).

26628349 is a wasteful number, since it uses less digits than its factorization.

26628349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 271 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 26628349 is about 5160.2663690938. The cubic root of 26628349 is about 298.6171503651.

It can be divided in two parts, 2662 and 8349, that added together give a palindrome (11011).

The spelling of 26628349 in words is "twenty-six million, six hundred twenty-eight thousand, three hundred forty-nine".

Divisors: 1 11 31 121 229 341 961 2519 3751 7099 10571 27709 78089 116281 220069 858979 2420759 26628349