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26236728 = 2332752057
BaseRepresentation
bin110010000010…
…1011100111000
31211100222000200
41210011130320
523204033403
62334202200
7436002630
oct144053470
954328020
1026236728
11138a0051
128953360
1355880bb
1436ad6c0
152483ca3
hex1905738

26236728 has 48 divisors (see below), whose sum is σ = 81210480. Its totient is φ = 7496064.

The previous prime is 26236723. The next prime is 26236781. The reversal of 26236728 is 82763262.

26236728 is a `hidden beast` number, since 2 + 623 + 6 + 7 + 28 = 666.

It is a super-2 number, since 2×262367282 = 1376731792291968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26236692 and 26236701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26236723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25525 + ... + 26532.

It is an arithmetic number, because the mean of its divisors is an integer number (1691885).

Almost surely, 226236728 is an apocalyptic number.

26236728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26236728 is an abundant number, since it is smaller than the sum of its proper divisors (54973752).

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

26236728 is a wasteful number, since it uses less digits than its factorization.

26236728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52076 (or 52069 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 26236728 is about 5122.1800046465. The cubic root of 26236728 is about 297.1460017454.

The spelling of 26236728 in words is "twenty-six million, two hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 52057 104114 156171 208228 312342 364399 416456 468513 624684 728798 937026 1093197 1249368 1457596 1874052 2186394 2915192 3279591 3748104 4372788 6559182 8745576 13118364 26236728