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4252000 = 25531063
BaseRepresentation
bin10000001110000101100000
322000000122111
4100032011200
52042031000
6231045104
751066334
oct20160540
98000574
104252000
112444655
121510794
13b5b49c
147c97c4
1558ecba
hex40e160

4252000 has 48 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 1699200.

The previous prime is 4251971. The next prime is 4252019. The reversal of 4252000 is 2524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3469 + ... + 4531.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 24252000 is an apocalyptic number.

4252000 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 4252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

4252000 is an abundant number, since it is smaller than the sum of its proper divisors (6204992).

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

4252000 is a wasteful number, since it uses less digits than its factorization.

4252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4252000 is about 2062.0378270051. The cubic root of 4252000 is about 162.0059947992.

Adding to 4252000 its reverse (2524), we get a palindrome (4254524).

It can be divided in two parts, 4 and 252000, that added together give a square (252004 = 5022).

The spelling of 4252000 in words is "four million, two 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 1063 2000 2126 4000 4252 5315 8504 10630 17008 21260 26575 34016 42520 53150 85040 106300 132875 170080 212600 265750 425200 531500 850400 1063000 2126000 4252000