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26218040 = 2355383149
BaseRepresentation
bin110010000000…
…0111000111000
31211100000101112
41210000320320
523202434130
62333535452
7435564302
oct144007070
954300345
1026218040
1113888002
128944588
13557c744
1436a6972
15247d495
hex1900e38

26218040 has 64 divisors (see below), whose sum is σ = 61236000. Its totient is φ = 10097152.

The previous prime is 26218039. The next prime is 26218079. The reversal of 26218040 is 4081262.

26218040 is nontrivially palindromic in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 26217997 and 26218015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175886 + ... + 176034.

Almost surely, 226218040 is an apocalyptic number.

26218040 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 26218040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30618000).

26218040 is an abundant number, since it is smaller than the sum of its proper divisors (35017960).

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

26218040 is a wasteful number, since it uses less digits than its factorization.

26218040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 26218040 is about 5120.3554564112. The cubic root of 26218040 is about 297.0754342130.

The spelling of 26218040 in words is "twenty-six million, two hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 83 106 149 166 212 265 298 332 415 424 530 596 664 745 830 1060 1192 1490 1660 2120 2980 3320 4399 5960 7897 8798 12367 15794 17596 21995 24734 31588 35192 39485 43990 49468 61835 63176 78970 87980 98936 123670 157940 175960 247340 315880 494680 655451 1310902 2621804 3277255 5243608 6554510 13109020 26218040