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26290440 = 23335112213
BaseRepresentation
bin110010001001…
…0100100001000
31211110200201000
41210102210020
523212243230
62335255000
7436315341
oct144224410
954420630
1026290440
1113927440
12897a460
1355a6697
1436c50c8
152494b60
hex1912908

26290440 has 128 divisors (see below), whose sum is σ = 95644800. Its totient is φ = 6370560.

The previous prime is 26290421. The next prime is 26290447. The reversal of 26290440 is 4409262.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26290447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10774 + ... + 12986.

It is an arithmetic number, because the mean of its divisors is an integer number (747225).

Almost surely, 226290440 is an apocalyptic number.

26290440 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 26290440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47822400).

26290440 is an abundant number, since it is smaller than the sum of its proper divisors (69354360).

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

26290440 is a wasteful number, since it uses less digits than its factorization.

26290440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26290440 is about 5127.4204040628. The cubic root of 26290440 is about 297.3486366048.

The spelling of 26290440 in words is "twenty-six million, two hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2213 2376 2970 3960 4426 5940 6639 8852 11065 11880 13278 17704 19917 22130 24343 26556 33195 39834 44260 48686 53112 59751 66390 73029 79668 88520 97372 99585 119502 121715 132780 146058 159336 194744 199170 219087 239004 243430 265560 292116 298755 365145 398340 438174 478008 486860 584232 597510 657261 730290 796680 876348 973720 1095435 1195020 1314522 1460580 1752696 2190870 2390040 2629044 2921160 3286305 4381740 5258088 6572610 8763480 13145220 26290440