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26696928 = 25323107113
BaseRepresentation
bin110010111010…
…1110011100000
31212020100022010
41211311303200
523313300203
62352112520
7442630416
oct145656340
955210263
1026696928
1114084885
128b35740
1356b96cb
14378d2b6
152525303
hex1975ce0

26696928 has 96 divisors (see below), whose sum is σ = 74462976. Its totient is φ = 8357888.

The previous prime is 26696927. The next prime is 26696941. The reversal of 26696928 is 82969662.

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 (48).

Its product of digits (559872) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26696927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236200 + ... + 236312.

It is an arithmetic number, because the mean of its divisors is an integer number (775656).

Almost surely, 226696928 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 26696928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

26696928 is an abundant number, since it is smaller than the sum of its proper divisors (47766048).

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

26696928 is a wasteful number, since it uses less digits than its factorization.

26696928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 26696928 is about 5166.9070051628. The cubic root of 26696928 is about 298.8732847848.

The spelling of 26696928 in words is "twenty-six million, six hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 107 113 138 184 214 226 276 321 339 368 428 452 552 642 678 736 856 904 1104 1284 1356 1712 1808 2208 2461 2568 2599 2712 3424 3616 4922 5136 5198 5424 7383 7797 9844 10272 10396 10848 12091 14766 15594 19688 20792 24182 29532 31188 36273 39376 41584 48364 59064 62376 72546 78752 83168 96728 118128 124752 145092 193456 236256 249504 278093 290184 386912 556186 580368 834279 1112372 1160736 1668558 2224744 3337116 4449488 6674232 8898976 13348464 26696928