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4852000 = 25531213
BaseRepresentation
bin10010100000100100100000
3100010111200201
4102200210200
52220231000
6251554544
756145526
oct22404440
910114621
104852000
11281441a
12175ba54
13100b60a
14904316
1565c96a
hex4a0920

4852000 has 48 divisors (see below), whose sum is σ = 11931192. Its totient is φ = 1939200.

The previous prime is 4851989. The next prime is 4852007. The reversal of 4852000 is 2584.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 4477456 = 612^2 + 2116^2 .

It is not an unprimeable number, because it can be changed into a prime (4852007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3394 + ... + 4606.

Almost surely, 24852000 is an apocalyptic number.

4852000 is a gapful number since it is divisible by the number (40) 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 4852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965596).

4852000 is an abundant number, since it is smaller than the sum of its proper divisors (7079192).

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

4852000 is a wasteful number, since it uses less digits than its factorization.

4852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4852000 is about 2202.7255843613. The cubic root of 4852000 is about 169.2934923250.

Adding to 4852000 its reverse (2584), we get a palindrome (4854584).

It can be divided in two parts, 485 and 2000, that added together give a triangular number (2485 = T70).

The spelling of 4852000 in words is "four million, eight hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1213 2000 2426 4000 4852 6065 9704 12130 19408 24260 30325 38816 48520 60650 97040 121300 151625 194080 242600 303250 485200 606500 970400 1213000 2426000 4852000