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55460526 = 2311978663
BaseRepresentation
bin1101001110010…
…0001010101110
310212100200112120
43103210022232
5103144214101
65300413410
71242256332
oct323441256
9125320476
1055460526
1129340350
12166a7266
13b64a9a4
1475197c2
154d07b36
hex34e42ae

55460526 has 32 divisors (see below), whose sum is σ = 122266368. Its totient is φ = 16631040.

The previous prime is 55460501. The next prime is 55460527. The reversal of 55460526 is 62506455.

It is a happy number.

55460526 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55460527) 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 15 ways as a sum of consecutive naturals, for example, 2071 + ... + 10733.

It is an arithmetic number, because the mean of its divisors is an integer number (3820824).

Almost surely, 255460526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55460526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61133184).

55460526 is an abundant number, since it is smaller than the sum of its proper divisors (66805842).

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

55460526 is a wasteful number, since it uses less digits than its factorization.

55460526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 55460526 is about 7447.1824202177. The cubic root of 55460526 is about 381.3537266453.

The spelling of 55460526 in words is "fifty-five million, four hundred sixty thousand, five hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 582 1067 2134 3201 6402 8663 17326 25989 51978 95293 190586 285879 571758 840311 1680622 2520933 5041866 9243421 18486842 27730263 55460526