Search a number
-
+
452028000 = 25353139271
BaseRepresentation
bin11010111100010…
…110011001100000
31011111120101211210
4122330112121200
51411204344000
6112504310120
714126113614
oct3274263140
91144511753
10452028000
11212181366
12107472340
1372859ab8
1444069344
1529a3e350
hex1af16660

452028000 has 192 divisors, whose sum is σ = 1497000960. Its totient is φ = 119232000.

The previous prime is 452027981. The next prime is 452028007. The reversal of 452028000 is 820254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452028007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667865 + ... + 1668135.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2452028000 is an apocalyptic number.

452028000 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 452028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

452028000 is an abundant number, since it is smaller than the sum of its proper divisors (1044972960).

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

452028000 is a wasteful number, since it uses less digits than its factorization.

452028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 452028000 is about 21260.9501198794. The cubic root of 452028000 is about 767.4588744600.

Adding to 452028000 its reverse (820254), we get a palindrome (452848254).

The spelling of 452028000 in words is "four hundred fifty-two million, twenty-eight thousand".