Search a number
-
+
452968740 = 2233572171953
BaseRepresentation
bin11010111111111…
…100000100100100
31011120100012022000
4122333330010210
51411424444430
6112540405300
714140112400
oct3277740444
91146305260
10452968740
11212764134
12107846830
1372ac9053
1444232100
1529b77e60
hex1affc124

452968740 has 576 divisors, whose sum is σ = 1861574400. Its totient is φ = 90574848.

The previous prime is 452968673. The next prime is 452968753. The reversal of 452968740 is 47869254.

It is a happy number.

452968740 is a `hidden beast` number, since 4 + 529 + 6 + 87 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8546554 + ... + 8546606.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2452968740 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 452968740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930787200).

452968740 is an abundant number, since it is smaller than the sum of its proper divisors (1408605660).

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

452968740 is a wasteful number, since it uses less digits than its factorization.

452968740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 452968740 is about 21283.0622796627. The cubic root of 452968740 is about 767.9909056540.

The spelling of 452968740 in words is "four hundred fifty-two million, nine hundred sixty-eight thousand, seven hundred forty".