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26428572 = 22331072287
BaseRepresentation
bin110010011010…
…0010010011100
31211201201012000
41210310102130
523231203242
62342242300
7440432142
oct144642234
954651160
1026428572
1113a111a5
128a26390
135624511
14371d592
1524c0a4c
hex193449c

26428572 has 48 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 8723376.

The previous prime is 26428513. The next prime is 26428583. The reversal of 26428572 is 27582462.

26428572 is a `hidden beast` number, since 2 + 64 + 28 + 572 = 666.

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

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, 10413 + ... + 12699.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 226428572 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 26428572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

26428572 is an abundant number, since it is smaller than the sum of its proper divisors (42760548).

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

26428572 is a wasteful number, since it uses less digits than its factorization.

26428572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 26428572 is about 5140.8726885617. The cubic root of 26428572 is about 297.8684914380.

It can be divided in two parts, 26428 and 572, that added together give a cube (27000 = 303).

The spelling of 26428572 in words is "twenty-six million, four hundred twenty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2287 2889 3852 4574 5778 6861 9148 11556 13722 20583 27444 41166 61749 82332 123498 244709 246996 489418 734127 978836 1468254 2202381 2936508 4404762 6607143 8809524 13214286 26428572