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26983125 = 34541341
BaseRepresentation
bin110011011101…
…1101011010101
31212202212220000
41212323223111
523401430000
62402201513
7445232001
oct146735325
955685800
1026983125
111425a904
129053299
135789a60
143825701
152580000
hex19bbad5

26983125 has 100 divisors (see below), whose sum is σ = 55566588. Its totient is φ = 12960000.

The previous prime is 26983093. The next prime is 26983127. The reversal of 26983125 is 52138962.

It can be written as a sum of positive squares in 10 ways, for example, as 26967249 + 15876 = 5193^2 + 126^2 .

It is not a de Polignac number, because 26983125 - 25 = 26983093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26983125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26983127) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 658105 + ... + 658145.

Almost surely, 226983125 is an apocalyptic number.

26983125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26983125 is an abundant number, since it is smaller than the sum of its proper divisors (28583463).

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

26983125 is an equidigital number, since it uses as much as digits as its factorization.

26983125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 26983125 is about 5194.5283712768. The cubic root of 26983125 is about 299.9374869746.

The spelling of 26983125 in words is "twenty-six million, nine hundred eighty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 41 45 65 75 81 117 123 125 135 195 205 225 325 351 369 375 405 533 585 615 625 675 975 1025 1053 1107 1125 1599 1625 1755 1845 1875 2025 2665 2925 3075 3321 3375 4797 4875 5125 5265 5535 5625 7995 8125 8775 9225 10125 13325 14391 14625 15375 16605 16875 23985 24375 25625 26325 27675 39975 43173 43875 46125 50625 66625 71955 73125 76875 83025 119925 131625 138375 199875 215865 219375 230625 333125 359775 415125 599625 658125 691875 999375 1079325 1798875 2075625 2998125 5396625 8994375 26983125