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26552064 = 283711449
BaseRepresentation
bin110010101001…
…0011100000000
31211221222120210
41211102130000
523244131224
62345034120
7441455160
oct145223400
954858523
1026552064
1113a95a60
128a85940
1356687a6
1437525a0
1524e7429
hex1952700

26552064 has 144 divisors (see below), whose sum is σ = 88300800. Its totient is φ = 6881280.

The previous prime is 26552059. The next prime is 26552069. The reversal of 26552064 is 46025562.

It is an interprime number because it is at equal distance from previous prime (26552059) and next prime (26552069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26552069) 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, 58912 + ... + 59360.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 226552064 is an apocalyptic number.

26552064 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 26552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

26552064 is an abundant number, since it is smaller than the sum of its proper divisors (61748736).

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

26552064 is a wasteful number, since it uses less digits than its factorization.

26552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 26552064 is about 5152.8694918463. The cubic root of 26552064 is about 298.3317177556.

The spelling of 26552064 in words is "twenty-six million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 449 462 528 616 672 704 768 896 898 924 1056 1232 1344 1347 1408 1792 1796 1848 2112 2464 2688 2694 2816 3143 3592 3696 4224 4928 4939 5376 5388 6286 7184 7392 8448 9429 9856 9878 10776 12572 14368 14784 14817 18858 19712 19756 21552 25144 28736 29568 29634 34573 37716 39512 43104 50288 57472 59136 59268 69146 75432 79024 86208 100576 103719 114944 118536 138292 150864 158048 172416 201152 207438 237072 276584 301728 316096 344832 402304 414876 474144 553168 603456 632192 804608 829752 948288 1106336 1206912 1264384 1659504 1896576 2212672 2413824 3319008 3793152 4425344 6638016 8850688 13276032 26552064