Search a number
-
+
452865006 = 23611217151
BaseRepresentation
bin11010111111100…
…010101111101110
31011120010221000000
4122333202233232
51411413140011
6112534245130
714136201066
oct3277425756
91146127000
10452865006
112126a3200
121077b67a6
1372a90a79
14442063a6
1529b57356
hex1afe2bee

452865006 has 168 divisors, whose sum is σ = 1193188752. Its totient is φ = 128304000.

The previous prime is 452865001. The next prime is 452865013. The reversal of 452865006 is 600568254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452865001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2999031 + ... + 2999181.

It is an arithmetic number, because the mean of its divisors is an integer number (7102314).

Almost surely, 2452865006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452865006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596594376).

452865006 is an abundant number, since it is smaller than the sum of its proper divisors (740323746).

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

452865006 is a wasteful number, since it uses less digits than its factorization.

452865006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 452865006 is about 21280.6251317954. The cubic root of 452865006 is about 767.9322755222.

The spelling of 452865006 in words is "four hundred fifty-two million, eight hundred sixty-five thousand, six".