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26988962 = 27111321761
BaseRepresentation
bin110011011110…
…1000110100010
31212210011220012
41212331012202
523402121322
62402244522
7445255010
oct146750642
955704805
1026988962
1114264230
129056742
13578c600
1438278b0
152581ae2
hex19bd1a2

26988962 has 96 divisors (see below), whose sum is σ = 58817664. Its totient is φ = 8985600.

The previous prime is 26988919. The next prime is 26988967.

26988962 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 26988962.

It is not an unprimeable number, because it can be changed into a prime (26988967) 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 47 ways as a sum of consecutive naturals, for example, 442412 + ... + 442472.

It is an arithmetic number, because the mean of its divisors is an integer number (612684).

Almost surely, 226988962 is an apocalyptic number.

26988962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

26988962 is an abundant number, since it is smaller than the sum of its proper divisors (31828702).

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

26988962 is a wasteful number, since it uses less digits than its factorization.

26988962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 26988962 is about 5195.0901820854. The cubic root of 26988962 is about 299.9591129463.

The spelling of 26988962 in words is "twenty-six million, nine hundred eighty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 7 11 13 14 17 22 26 34 61 77 91 119 122 143 154 169 182 187 221 238 286 338 374 427 442 671 793 854 1001 1037 1183 1309 1342 1547 1586 1859 2002 2074 2366 2431 2618 2873 3094 3718 4697 4862 5551 5746 7259 8723 9394 10309 11102 11407 13013 13481 14518 17017 17446 20111 20618 22814 26026 26962 31603 34034 40222 61061 63206 72163 79849 94367 113399 122122 144326 148291 159698 175253 188734 221221 226798 296582 350506 442442 793793 1038037 1226771 1587586 1927783 2076074 2453542 3855566 13494481 26988962