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26427648 = 283132647
BaseRepresentation
bin110010011010…
…0000100000000
31211201122220210
41210310010000
523231141043
62342234120
7440426352
oct144640400
954648823
1026427648
1113a10535
128a25940
135623c80
14371d0d2
1524c0633
hex1934100

26427648 has 72 divisors (see below), whose sum is σ = 75775168. Its totient is φ = 8128512.

The previous prime is 26427641. The next prime is 26427659. The reversal of 26427648 is 84672462.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (26427641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8661 + ... + 11307.

Almost surely, 226427648 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 26427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37887584).

26427648 is an abundant number, since it is smaller than the sum of its proper divisors (49347520).

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

26427648 is a wasteful number, since it uses less digits than its factorization.

26427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2665 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 26427648 is about 5140.7828197659. The cubic root of 26427648 is about 297.8650200222.

The spelling of 26427648 in words is "twenty-six million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 2647 3328 4992 5294 7941 9984 10588 15882 21176 31764 34411 42352 63528 68822 84704 103233 127056 137644 169408 206466 254112 275288 338816 412932 508224 550576 677632 825864 1016448 1101152 1651728 2032896 2202304 3303456 4404608 6606912 8809216 13213824 26427648