Search a number
-
+
26286084 = 223211411619
BaseRepresentation
bin110010001000…
…1100000000100
31211110110201200
41210101200010
523212123314
62335222500
7436266546
oct144214004
954413650
1026286084
1113924140
128977a30
1355a46c6
1436c3696
152493709
hex1911804

26286084 has 72 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 7766400.

The previous prime is 26286077. The next prime is 26286089. The reversal of 26286084 is 48068262.

26286084 is a `hidden beast` number, since 26 + 28 + 608 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26286089) 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 23 ways as a sum of consecutive naturals, for example, 15427 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 226286084 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 26286084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

26286084 is an abundant number, since it is smaller than the sum of its proper divisors (48013596).

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

26286084 is a wasteful number, since it uses less digits than its factorization.

26286084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26286084 is about 5126.9956114668. The cubic root of 26286084 is about 297.3322133700.

The spelling of 26286084 in words is "twenty-six million, two hundred eighty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1619 1804 2706 3238 4059 4857 5412 6476 8118 9714 14571 16236 17809 19428 29142 35618 53427 58284 66379 71236 106854 132758 160281 199137 213708 265516 320562 398274 597411 641124 730169 796548 1194822 1460338 2190507 2389644 2920676 4381014 6571521 8762028 13143042 26286084