Search a number
-
+
452084952 = 233113734591
BaseRepresentation
bin11010111100100…
…100010011011000
31011111200021222010
4122330210103120
51411213204302
6112505425520
714126441634
oct3274442330
91144607863
10452084952
11212210130
1210749b2a0
13728799b7
1444081dc4
1529a5116c
hex1af244d8

452084952 has 64 divisors (see below), whose sum is σ = 1236533760. Its totient is φ = 136598400.

The previous prime is 452084947. The next prime is 452084953. The reversal of 452084952 is 259480254.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 452084952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452084953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96177 + ... + 100767.

It is an arithmetic number, because the mean of its divisors is an integer number (19320840).

Almost surely, 2452084952 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 452084952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618266880).

452084952 is an abundant number, since it is smaller than the sum of its proper divisors (784448808).

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

452084952 is a wasteful number, since it uses less digits than its factorization.

452084952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 452084952 is about 21262.2894345835. The cubic root of 452084952 is about 767.4911043825.

The spelling of 452084952 in words is "four hundred fifty-two million, eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 373 746 1119 1492 2238 2984 4103 4476 4591 8206 8952 9182 12309 13773 16412 18364 24618 27546 32824 36728 49236 50501 55092 98472 101002 110184 151503 202004 303006 404008 606012 1212024 1712443 3424886 5137329 6849772 10274658 13699544 18836873 20549316 37673746 41098632 56510619 75347492 113021238 150694984 226042476 452084952