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52088484 = 22371095689
BaseRepresentation
bin1100011010110…
…0111010100100
310122000100222010
43012230322210
5101313312414
65100234220
71201513320
oct306547244
9118010863
1052088484
1127447938
121553b970
13aa39bb6
146cbc980
15488d959
hex31acea4

52088484 has 48 divisors (see below), whose sum is σ = 140201600. Its totient is φ = 14743296.

The previous prime is 52088483. The next prime is 52088497. The reversal of 52088484 is 48488025.

52088484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

52088484 is a modest number, since divided by 8484 gives 5208 as remainder.

It is not an unprimeable number, because it can be changed into a prime (52088483) 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, 6312 + ... + 12000.

Almost surely, 252088484 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 52088484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70100800).

52088484 is an abundant number, since it is smaller than the sum of its proper divisors (88113116).

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

52088484 is a wasteful number, since it uses less digits than its factorization.

52088484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 52088484 is about 7217.2352047027. The cubic root of 52088484 is about 373.4627056591.

The spelling of 52088484 in words is "fifty-two million, eighty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1308 1526 2289 3052 4578 5689 9156 11378 17067 22756 34134 39823 68268 79646 119469 159292 238938 477876 620101 1240202 1860303 2480404 3720606 4340707 7441212 8681414 13022121 17362828 26044242 52088484