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26845056 = 273273329
BaseRepresentation
bin110011001100…
…1111110000000
31212111212111100
41212121332000
523333020211
62355214400
7444115320
oct146317600
955455440
1026845056
11141760a7
128ba7400
13573bc64
1437cb280
152554156
hex1999f80

26845056 has 96 divisors (see below), whose sum is σ = 88311600. Its totient is φ = 7667712.

The previous prime is 26845051. The next prime is 26845061. The reversal of 26845056 is 65054862.

It is an interprime number because it is at equal distance from previous prime (26845051) and next prime (26845061).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26845056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26845051) 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, 6400 + ... + 9728.

Almost surely, 226845056 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 26845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155800).

26845056 is an abundant number, since it is smaller than the sum of its proper divisors (61466544).

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

26845056 is a wasteful number, since it uses less digits than its factorization.

26845056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 26845056 is about 5181.2214776054. The cubic root of 26845056 is about 299.4250320769.

The spelling of 26845056 in words is "twenty-six million, eight hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 3329 4032 6658 8064 9987 13316 19974 23303 26632 29961 39948 46606 53264 59922 69909 79896 93212 106528 119844 139818 159792 186424 209727 213056 239688 279636 319584 372848 419454 426112 479376 559272 639168 745696 838908 958752 1118544 1278336 1491392 1677816 1917504 2237088 2982784 3355632 3835008 4474176 6711264 8948352 13422528 26845056