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3882500 = 22541553
BaseRepresentation
bin1110110011111000000100
321022020210022
432303320010
51443220000
6215114312
745000146
oct16637004
97266708
103882500
112211a86
121372998
13a5c24b
14730c96
1551a585
hex3b3e04

3882500 has 30 divisors (see below), whose sum is σ = 8495718. Its totient is φ = 1552000.

The previous prime is 3882481. The next prime is 3882523. The reversal of 3882500 is 52883.

3882500 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 5 ways, for example, as 2408704 + 1473796 = 1552^2 + 1214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3882500.

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 9 ways as a sum of consecutive naturals, for example, 1724 + ... + 3276.

Almost surely, 23882500 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 3882500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247859).

3882500 is an abundant number, since it is smaller than the sum of its proper divisors (4613218).

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

3882500 is a wasteful number, since it uses less digits than its factorization.

3882500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 3882500 is about 1970.4060495238. The cubic root of 3882500 is about 157.1703021722.

The spelling of 3882500 in words is "three million, eight hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1553 2500 3106 6212 7765 15530 31060 38825 77650 155300 194125 388250 776500 970625 1941250 3882500