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26280828 = 2233734763
BaseRepresentation
bin110010001000…
…0001101111100
31211110012112000
41210100031330
523211441303
62335142300
7436245330
oct144201574
954405460
1026280828
11139201a2
128974990
1355a21b2
1436c17c0
152491da3
hex191037c

26280828 has 48 divisors (see below), whose sum is σ = 77871360. Its totient is φ = 7508592.

The previous prime is 26280811. The next prime is 26280893. The reversal of 26280828 is 82808262.

26280828 is a `hidden beast` number, since 2 + 628 + 0 + 8 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26280792 and 26280801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16626 + ... + 18137.

It is an arithmetic number, because the mean of its divisors is an integer number (1622320).

Almost surely, 226280828 is an apocalyptic number.

26280828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26280828 is an abundant number, since it is smaller than the sum of its proper divisors (51590532).

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

26280828 is a wasteful number, since it uses less digits than its factorization.

26280828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34783 (or 34775 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 26280828 is about 5126.4830049460. The cubic root of 26280828 is about 297.3123944894.

The spelling of 26280828 in words is "twenty-six million, two hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 34763 69526 104289 139052 208578 243341 312867 417156 486682 625734 730023 938601 973364 1251468 1460046 1877202 2190069 2920092 3754404 4380138 6570207 8760276 13140414 26280828