Search a number
-
+
452449536 = 28372111093
BaseRepresentation
bin11010111101111…
…101010100000000
31011112100211002020
4122331331110000
51411311341121
6112521321440
714132520600
oct3275752400
91145324066
10452449536
1121243a040
12107636280
1372976926
1444138c00
1529ac41c6
hex1af7d500

452449536 has 216 divisors, whose sum is σ = 1529517024. Its totient is φ = 117411840.

The previous prime is 452449531. The next prime is 452449541. The reversal of 452449536 is 635944254.

It is an interprime number because it is at equal distance from previous prime (452449531) and next prime (452449541).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452449531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413406 + ... + 414498.

Almost surely, 2452449536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452449536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764758512).

452449536 is an abundant number, since it is smaller than the sum of its proper divisors (1077067488).

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

452449536 is a wasteful number, since it uses less digits than its factorization.

452449536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1116 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 452449536 is about 21270.8611955417. The cubic root of 452449536 is about 767.6973633982.

The spelling of 452449536 in words is "four hundred fifty-two million, four hundred forty-nine thousand, five hundred thirty-six".