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55826208 = 2532193841
BaseRepresentation
bin1101010011110…
…1011100100000
310220001021011100
43110331130200
5103242414313
65312314400
71245341424
oct324753440
9126037140
1055826208
1129570069
1216842a00
13b748279
1475b2b84
154d7b173
hex353d720

55826208 has 36 divisors (see below), whose sum is σ = 158756598. Its totient is φ = 18608640.

The previous prime is 55826207. The next prime is 55826261. The reversal of 55826208 is 80262855.

55826208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48274704 + 7551504 = 6948^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (55826207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96633 + ... + 97208.

Almost surely, 255826208 is an apocalyptic number.

It is an amenable number.

55826208 is an abundant number, since it is smaller than the sum of its proper divisors (102930390).

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

55826208 is a wasteful number, since it uses less digits than its factorization.

55826208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193857 (or 193846 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 55826208 is about 7471.6937838752. The cubic root of 55826208 is about 382.1900500734.

The spelling of 55826208 in words is "fifty-five million, eight hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 193841 387682 581523 775364 1163046 1550728 1744569 2326092 3101456 3489138 4652184 6202912 6978276 9304368 13956552 18608736 27913104 55826208