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26812864 = 261323767
BaseRepresentation
bin110011001001…
…0000111000000
31212110020100001
41212102013000
523331002424
62354405344
7443622421
oct146220700
955406301
1026812864
11141539a1
128b90854
13572a400
1437bd648
152549844
hex19921c0

26812864 has 84 divisors (see below), whose sum is σ = 60054744. Its totient is φ = 11860992.

The previous prime is 26812853. The next prime is 26812867. The reversal of 26812864 is 46821862.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26812867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400159 + ... + 400225.

Almost surely, 226812864 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 26812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30027372).

26812864 is an abundant number, since it is smaller than the sum of its proper divisors (33241880).

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

26812864 is a wasteful number, since it uses less digits than its factorization.

26812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 26812864 is about 5178.1139423539. The cubic root of 26812864 is about 299.3052962344.

The spelling of 26812864 in words is "twenty-six million, eight hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 67 74 104 134 148 169 208 268 296 338 416 481 536 592 676 832 871 962 1072 1184 1352 1742 1924 2144 2368 2479 2704 3484 3848 4288 4958 5408 6253 6968 7696 9916 10816 11323 12506 13936 15392 19832 22646 25012 27872 30784 32227 39664 45292 50024 55744 64454 79328 90584 100048 128908 158656 181168 200096 257816 362336 400192 418951 515632 724672 837902 1031264 1675804 2062528 3351608 6703216 13406432 26812864