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26131896 = 233472823
BaseRepresentation
bin110001110101…
…1110110111000
31211011122020000
41203223312320
523142210041
62332033000
7435055200
oct143536670
954148200
1026131896
111382930a
128902760
13554c47b
143683400
152462bb6
hex18ebdb8

26131896 has 120 divisors (see below), whose sum is σ = 85246920. Its totient is φ = 7457184.

The previous prime is 26131849. The next prime is 26131927. The reversal of 26131896 is 69813162.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26131896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31341 + ... + 32163.

It is an arithmetic number, because the mean of its divisors is an integer number (710391).

Almost surely, 226131896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26131896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42623460).

26131896 is an abundant number, since it is smaller than the sum of its proper divisors (59115024).

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

26131896 is a wasteful number, since it uses less digits than its factorization.

26131896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 835 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 26131896 is about 5111.9366193254. The cubic root of 26131896 is about 296.7497126146.

The spelling of 26131896 in words is "twenty-six million, one hundred thirty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 823 882 1134 1176 1323 1512 1646 1764 2268 2469 2646 3292 3528 3969 4536 4938 5292 5761 6584 7407 7938 9876 10584 11522 14814 15876 17283 19752 22221 23044 29628 31752 34566 40327 44442 46088 51849 59256 66663 69132 80654 88884 103698 120981 133326 138264 155547 161308 177768 207396 241962 266652 311094 322616 362943 414792 466641 483924 533304 622188 725886 933282 967848 1088829 1244376 1451772 1866564 2177658 2903544 3266487 3733128 4355316 6532974 8710632 13065948 26131896