Search a number
-
+
452414016 = 26321967617
BaseRepresentation
bin11010111101110…
…100101001000000
31011112022000100200
4122331310221000
51411304222031
6112520445200
714132312205
oct3275645100
91145260320
10452414016
1121241538a
12107619800
1372963702
1444129cac
1529ab88e6
hex1af74a40

452414016 has 168 divisors, whose sum is σ = 1387632480. Its totient is φ = 140507136.

The previous prime is 452413999. The next prime is 452414021. The reversal of 452414016 is 610414254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732940 + ... + 733556.

Almost surely, 2452414016 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 452414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693816240).

452414016 is an abundant number, since it is smaller than the sum of its proper divisors (935218464).

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

452414016 is a wasteful number, since it uses less digits than its factorization.

452414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 452414016 is about 21270.0262341164. The cubic root of 452414016 is about 767.6772732579.

The spelling of 452414016 in words is "four hundred fifty-two million, four hundred fourteen thousand, sixteen".