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55028032 = 261018513
BaseRepresentation
bin1101000111101…
…0100101000000
310211112201021021
43101322211000
5103041344112
65243235224
71235505403
oct321724500
9124481237
1055028032
1129075414
1216518b14
13b528b87
147445d3a
154c6e907
hex347a940

55028032 has 28 divisors (see below), whose sum is σ = 110290356. Its totient is φ = 27238400.

The previous prime is 55028021. The next prime is 55028101. The reversal of 55028032 is 23082055.

It can be written as a sum of positive squares in 2 ways, for example, as 53348416 + 1679616 = 7304^2 + 1296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55027988 and 55028006.

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 3 ways as a sum of consecutive naturals, for example, 2208 + ... + 10720.

Almost surely, 255028032 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 55028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55145178).

55028032 is an abundant number, since it is smaller than the sum of its proper divisors (55262324).

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

55028032 is a wasteful number, since it uses less digits than its factorization.

55028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 55028032 is about 7418.0881634017. The cubic root of 55028032 is about 380.3598438079.

It can be divided in two parts, 550 and 28032, that added together give a palindrome (28582).

The spelling of 55028032 in words is "fifty-five million, twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 8513 17026 34052 68104 136208 272416 544832 859813 1719626 3439252 6878504 13757008 27514016 55028032