Search a number
-
+
52030100 = 2252539817
BaseRepresentation
bin1100011001111…
…0101010010100
310121220101212202
43012132222110
5101304430400
65055104032
71201151153
oct306365224
9117811782
1052030100
1127407a91
1215512018
13aa19455
146ca559a
15487b4d5
hex319ea94

52030100 has 36 divisors (see below), whose sum is σ = 115047324. Its totient is φ = 20417280.

The previous prime is 52030087. The next prime is 52030157. The reversal of 52030100 is 103025.

52030100 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 6 ways, for example, as 5299204 + 46730896 = 2302^2 + 6836^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 392 + ... + 10208.

It is an arithmetic number, because the mean of its divisors is an integer number (3195759).

Almost surely, 252030100 is an apocalyptic number.

52030100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57523662).

52030100 is an abundant number, since it is smaller than the sum of its proper divisors (63017224).

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

52030100 is a wasteful number, since it uses less digits than its factorization.

52030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 52030100 is about 7213.1893084821. The cubic root of 52030100 is about 373.3231201146.

Adding to 52030100 its reverse (103025), we get a palindrome (52133125).

The spelling of 52030100 in words is "fifty-two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 9817 19634 39268 49085 98170 196340 245425 490850 520301 981700 1040602 2081204 2601505 5203010 10406020 13007525 26015050 52030100