Search a number
-
+
452463840 = 253351761101
BaseRepresentation
bin11010111110000…
…000110011100000
31011112101112201000
4122332000303200
51411312320330
6112521512000
714132610363
oct3276006340
91145345630
10452463840
11212449864
12107642600
13729802aa
14441400da
1529ac8560
hex1af80ce0

452463840 has 384 divisors, whose sum is σ = 1721139840. Its totient is φ = 110592000.

The previous prime is 452463839. The next prime is 452463841. The reversal of 452463840 is 48364254.

It is an interprime number because it is at equal distance from previous prime (452463839) and next prime (452463841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 452463795 and 452463804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452463841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4479790 + ... + 4479890.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2452463840 is an apocalyptic number.

452463840 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 452463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860569920).

452463840 is an abundant number, since it is smaller than the sum of its proper divisors (1268676000).

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

452463840 is a wasteful number, since it uses less digits than its factorization.

452463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 452463840 is about 21271.1974275075. The cubic root of 452463840 is about 767.7054534550.

The spelling of 452463840 in words is "four hundred fifty-two million, four hundred sixty-three thousand, eight hundred forty".