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26091264 = 28353641
BaseRepresentation
bin110001110000…
…1111100000000
31211002120111010
41203201330000
523134410024
62331120520
7434525553
oct143417400
954076433
1026091264
1113800831
1288a3140
135536b24
14367269a
152455b29
hex18e1f00

26091264 has 72 divisors (see below), whose sum is σ = 70861392. Its totient is φ = 8519680.

The previous prime is 26091259. The next prime is 26091287. The reversal of 26091264 is 46219062.

26091264 is nontrivially palindromic in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40384 + ... + 41024.

It is an arithmetic number, because the mean of its divisors is an integer number (984186).

Almost surely, 226091264 is an apocalyptic number.

26091264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35430696).

26091264 is an abundant number, since it is smaller than the sum of its proper divisors (44770128).

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

26091264 is an equidigital number, since it uses as much as digits as its factorization.

26091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 26091264 is about 5107.9608455821. The cubic root of 26091264 is about 296.5958292904.

The spelling of 26091264 in words is "twenty-six million, ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 641 768 848 1272 1282 1696 1923 2544 2564 3392 3846 5088 5128 6784 7692 10176 10256 13568 15384 20352 20512 30768 33973 40704 41024 61536 67946 82048 101919 123072 135892 164096 203838 246144 271784 407676 492288 543568 815352 1087136 1630704 2174272 3261408 4348544 6522816 8697088 13045632 26091264