Search a number
-
+
452520960 = 21035171733
BaseRepresentation
bin11010111110001…
…110110000000000
31011112111110001120
4122332032300000
51411321132320
6112523032240
714133236043
oct3276166000
91145443046
10452520960
11212488771
1210766b680
13729a02a8
1444156c5a
1529ada440
hex1af8ec00

452520960 has 176 divisors, whose sum is σ = 1533383136. Its totient is φ = 113508352.

The previous prime is 452520947. The next prime is 452520979. The reversal of 452520960 is 69025254.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 260254 + ... + 261986.

Almost surely, 2452520960 is an apocalyptic number.

452520960 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 452520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766691568).

452520960 is an abundant number, since it is smaller than the sum of its proper divisors (1080862176).

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

452520960 is a wasteful number, since it uses less digits than its factorization.

452520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 452520960 is about 21272.5400457961. The cubic root of 452520960 is about 767.7377576868.

The spelling of 452520960 in words is "four hundred fifty-two million, five hundred twenty thousand, nine hundred sixty".