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26698968 = 2332616079
BaseRepresentation
bin110010111011…
…0010011011000
31212020110002200
41211312103120
523313331333
62352130200
7442636362
oct145662330
955213080
1026698968
111408636a
128b36960
1356ba60a
14378dd32
152525c13
hex19764d8

26698968 has 48 divisors (see below), whose sum is σ = 73507200. Its totient is φ = 8752320.

The previous prime is 26698963. The next prime is 26698999. The reversal of 26698968 is 86989662.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26698963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1353 + ... + 7431.

It is an arithmetic number, because the mean of its divisors is an integer number (1531400).

Almost surely, 226698968 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 26698968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36753600).

26698968 is an abundant number, since it is smaller than the sum of its proper divisors (46808232).

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

26698968 is a wasteful number, since it uses less digits than its factorization.

26698968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6145 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 26698968 is about 5167.1044115636. The cubic root of 26698968 is about 298.8808972208.

The spelling of 26698968 in words is "twenty-six million, six hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 6079 12158 18237 24316 36474 48632 54711 72948 109422 145896 218844 370819 437688 741638 1112457 1483276 2224914 2966552 3337371 4449828 6674742 8899656 13349484 26698968