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5875300 = 2252411433
BaseRepresentation
bin10110011010011001100100
3102001111101201
4112122121210
53001002200
6325532244
7100640104
oct26323144
912044351
105875300
113353222
121b74084
1312a9312
14acd204
157b0c6a
hex59a664

5875300 has 36 divisors (see below), whose sum is σ = 13069476. Its totient is φ = 2291200.

The previous prime is 5875291. The next prime is 5875301. The reversal of 5875300 is 35785.

It can be written as a sum of positive squares in 6 ways, for example, as 343396 + 5531904 = 586^2 + 2352^2 .

It is not an unprimeable number, because it can be changed into a prime (5875301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3384 + ... + 4816.

It is an arithmetic number, because the mean of its divisors is an integer number (363041).

Almost surely, 25875300 is an apocalyptic number.

5875300 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 5875300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534738).

5875300 is an abundant number, since it is smaller than the sum of its proper divisors (7194176).

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

5875300 is a wasteful number, since it uses less digits than its factorization.

5875300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 5875300 is about 2423.9018131929. The cubic root of 5875300 is about 180.4443752960. Note that the first 3 decimals are identical.

The spelling of 5875300 in words is "five million, eight hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1433 2050 2866 4100 5732 7165 14330 28660 35825 58753 71650 117506 143300 235012 293765 587530 1175060 1468825 2937650 5875300