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26383872 = 29389193
BaseRepresentation
bin110010010100…
…1011000000000
31211122102212110
41210221120000
523223240442
62341255320
7440154624
oct144513000
954572773
1026383872
1113990659
128a04540
13560a078
14370b184
1524b269c
hex1929600

26383872 has 80 divisors (see below), whose sum is σ = 71446320. Its totient is φ = 8650752.

The previous prime is 26383831. The next prime is 26383891. The reversal of 26383872 is 27838362.

It is a happy number.

It is a super-2 number, since 2×263838722 = 1392217403424768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26383872.

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, 136608 + ... + 136800.

It is an arithmetic number, because the mean of its divisors is an integer number (893079).

Almost surely, 226383872 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 26383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35723160).

26383872 is an abundant number, since it is smaller than the sum of its proper divisors (45062448).

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

26383872 is an equidigital number, since it uses as much as digits as its factorization.

26383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 26383872 is about 5136.5233378230. The cubic root of 26383872 is about 297.7004632493.

The spelling of 26383872 in words is "twenty-six million, three hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 193 256 267 356 384 386 512 534 579 712 768 772 1068 1158 1424 1536 1544 2136 2316 2848 3088 4272 4632 5696 6176 8544 9264 11392 12352 17088 17177 18528 22784 24704 34176 34354 37056 45568 49408 51531 68352 68708 74112 98816 103062 136704 137416 148224 206124 274832 296448 412248 549664 824496 1099328 1648992 2198656 3297984 4397312 6595968 8794624 13191936 26383872