Search a number
-
+
55829088 = 2534717181
BaseRepresentation
bin1101010011111…
…0001001100000
310220001102010000
43110332021200
5103243012323
65312340000
71245353010
oct324761140
9126042100
1055829088
1129572247
1216844600
13b749683
1475b3c40
154d7be43
hex353e260

55829088 has 240 divisors, whose sum is σ = 199783584. Its totient is φ = 14929920.

The previous prime is 55829083. The next prime is 55829107. The reversal of 55829088 is 88092855.

55829088 is a `hidden beast` number, since 558 + 2 + 90 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55829083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308358 + ... + 308538.

Almost surely, 255829088 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 55829088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792).

55829088 is an abundant number, since it is smaller than the sum of its proper divisors (143954496).

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

55829088 is a wasteful number, since it uses less digits than its factorization.

55829088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 55829088 is about 7471.8865087741. The cubic root of 55829088 is about 382.1966221862.

It can be divided in two parts, 558 and 29088, that added together give a triangular number (29646 = T243).

The spelling of 55829088 in words is "fifty-five million, eight hundred twenty-nine thousand, eighty-eight".