Search a number
-
+
52815500 = 2253731447
BaseRepresentation
bin1100100101111…
…0011010001100
310200101022020122
43021132122030
5102010044000
65124004112
71210632023
oct311363214
9120338218
1052815500
11278a4081
1215830638
13ac32a9a
14702b8ba
154984085
hex325e68c

52815500 has 48 divisors (see below), whose sum is σ = 117009984. Its totient is φ = 20822400.

The previous prime is 52815493. The next prime is 52815509. The reversal of 52815500 is 551825.

52815500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52815500.

It is not an unprimeable number, because it can be changed into a prime (52815509) 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, 35777 + ... + 37223.

It is an arithmetic number, because the mean of its divisors is an integer number (2437708).

Almost surely, 252815500 is an apocalyptic number.

52815500 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 52815500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58504992).

52815500 is an abundant number, since it is smaller than the sum of its proper divisors (64194484).

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

52815500 is a wasteful number, since it uses less digits than its factorization.

52815500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 52815500 is about 7267.4273302180. The cubic root of 52815500 is about 375.1921977728.

The spelling of 52815500 in words is "fifty-two million, eight hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 1447 1460 1825 2894 3650 5788 7235 7300 9125 14470 18250 28940 36175 36500 72350 105631 144700 180875 211262 361750 422524 528155 723500 1056310 2112620 2640775 5281550 10563100 13203875 26407750 52815500