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26269056 = 273311691
BaseRepresentation
bin110010000110…
…1010110000000
31211102121101000
41210031112000
523211102211
62335012000
7436166112
oct144152600
954377330
1026269056
1113912370
12896a000
135599a28
1436bb3b2
15248d656
hex190d580

26269056 has 128 divisors (see below), whose sum is σ = 84700800. Its totient is φ = 7948800.

The previous prime is 26269051. The next prime is 26269081. The reversal of 26269056 is 65096262.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×262690562 = 1380126606262272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26269056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26269051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37671 + ... + 38361.

It is an arithmetic number, because the mean of its divisors is an integer number (661725).

Almost surely, 226269056 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 26269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42350400).

26269056 is an abundant number, since it is smaller than the sum of its proper divisors (58431744).

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

26269056 is a wasteful number, since it uses less digits than its factorization.

26269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 26269056 is about 5125.3347207768. The cubic root of 26269056 is about 297.2679960377.

The spelling of 26269056 in words is "twenty-six million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 691 704 792 864 1056 1152 1188 1382 1408 1584 1728 2073 2112 2376 2764 3168 3456 4146 4224 4752 5528 6219 6336 7601 8292 9504 11056 12438 12672 15202 16584 18657 19008 22112 22803 24876 30404 33168 37314 38016 44224 45606 49752 60808 66336 68409 74628 88448 91212 99504 121616 132672 136818 149256 182424 199008 205227 243232 265344 273636 298512 364848 398016 410454 486464 547272 597024 729696 796032 820908 972928 1094544 1194048 1459392 1641816 2189088 2388096 2918784 3283632 4378176 6567264 8756352 13134528 26269056