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26079040 = 265136269
BaseRepresentation
bin110001101111…
…0111101000000
31211001221201101
41203132331000
523134012130
62330544144
7434445121
oct143367500
954057641
1026079040
11137a2629
128898054
1355313b0
14366c048
1524521ca
hex18def40

26079040 has 56 divisors (see below), whose sum is σ = 66888360. Its totient is φ = 9627648.

The previous prime is 26079019. The next prime is 26079049. The reversal of 26079040 is 4097062.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 26050816 = 168^2 + 5104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26079049) 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 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 7294.

It is an arithmetic number, because the mean of its divisors is an integer number (1194435).

Almost surely, 226079040 is an apocalyptic number.

26079040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33444180).

26079040 is an abundant number, since it is smaller than the sum of its proper divisors (40809320).

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

26079040 is a wasteful number, since it uses less digits than its factorization.

26079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 26079040 is about 5106.7641418025. The cubic root of 26079040 is about 296.5495027528.

The spelling of 26079040 in words is "twenty-six million, seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 6269 12538 25076 31345 50152 62690 81497 100304 125380 162994 200608 250760 325988 401216 407485 501520 651976 814970 1003040 1303952 1629940 2006080 2607904 3259880 5215808 6519760 13039520 26079040