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26268984 = 2332752121
BaseRepresentation
bin110010000110…
…1010100111000
31211102121021100
41210031110320
523211101414
62335011400
7436165650
oct144152470
954377240
1026268984
1113912305
128969b60
1355999a1
1436bb360
15248d609
hex190d538

26268984 has 48 divisors (see below), whose sum is σ = 81310320. Its totient is φ = 7505280.

The previous prime is 26268971. The next prime is 26269003. The reversal of 26268984 is 48986262.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25557 + ... + 26564.

It is an arithmetic number, because the mean of its divisors is an integer number (1693965).

Almost surely, 226268984 is an apocalyptic number.

26268984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26268984 is an abundant number, since it is smaller than the sum of its proper divisors (55041336).

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

26268984 is a wasteful number, since it uses less digits than its factorization.

26268984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52140 (or 52133 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 26268984 is about 5125.3276968405. The cubic root of 26268984 is about 297.2677244467.

The spelling of 26268984 in words is "twenty-six million, two hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 52121 104242 156363 208484 312726 364847 416968 469089 625452 729694 938178 1094541 1250904 1459388 1876356 2189082 2918776 3283623 3752712 4378164 6567246 8756328 13134492 26268984