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26390016 = 29332383
BaseRepresentation
bin110010010101…
…0111000000000
31211122202022000
41210222320000
523223440031
62341344000
7440211552
oct144527000
954582260
1026390016
1113995234
128a08000
13560cac3
14370d4d2
1524b43e6
hex192ae00

26390016 has 160 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 8312832.

The previous prime is 26390009. The next prime is 26390017. The reversal of 26390016 is 61009362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26390017) 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, 317911 + ... + 317993.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 226390016 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 26390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

26390016 is an abundant number, since it is smaller than the sum of its proper divisors (56104704).

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

26390016 is an equidigital number, since it uses as much as digits as its factorization.

26390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 26390016 is about 5137.1213729092. The cubic root of 26390016 is about 297.7235699119.

Adding to 26390016 its reverse (61009362), we get a palindrome (87399378).

The spelling of 26390016 in words is "twenty-six million, three hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 83 92 96 108 128 138 144 166 184 192 207 216 249 256 276 288 332 368 384 414 432 498 512 552 576 621 664 736 747 768 828 864 996 1104 1152 1242 1328 1472 1494 1536 1656 1728 1909 1992 2208 2241 2304 2484 2656 2944 2988 3312 3456 3818 3984 4416 4482 4608 4968 5312 5727 5888 5976 6624 6912 7636 7968 8832 8964 9936 10624 11454 11776 11952 13248 13824 15272 15936 17181 17664 17928 19872 21248 22908 23904 26496 30544 31872 34362 35328 35856 39744 42496 45816 47808 51543 52992 61088 63744 68724 71712 79488 91632 95616 103086 105984 122176 127488 137448 143424 158976 183264 191232 206172 244352 274896 286848 317952 366528 382464 412344 488704 549792 573696 733056 824688 977408 1099584 1147392 1466112 1649376 2199168 2932224 3298752 4398336 6597504 8796672 13195008 26390016