Search a number
-
+
451999072 = 2574214793
BaseRepresentation
bin11010111100001…
…111010101100000
31011111111221011101
4122330033111200
51411202432242
6112503524144
714125633360
oct3274172540
91144457141
10451999072
11212161658
12107459654
1372849895
144405c9a0
1529a359b7
hex1af0f560

451999072 has 48 divisors (see below), whose sum is σ = 1019626272. Its totient is φ = 193213440.

The previous prime is 451999069. The next prime is 451999091. The reversal of 451999072 is 270999154.

It is a happy number.

It is a super-2 number, since 2×4519990722 = 408606322177722368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91908 + ... + 96700.

It is an arithmetic number, because the mean of its divisors is an integer number (21242214).

Almost surely, 2451999072 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 451999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509813136).

451999072 is an abundant number, since it is smaller than the sum of its proper divisors (567627200).

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

451999072 is a wasteful number, since it uses less digits than its factorization.

451999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The square root of 451999072 is about 21260.2698007340. The cubic root of 451999072 is about 767.4425026689.

The spelling of 451999072 in words is "four hundred fifty-one million, nine hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 421 842 1684 2947 3368 4793 5894 6736 9586 11788 13472 19172 23576 33551 38344 47152 67102 76688 94304 134204 153376 268408 536816 1073632 2017853 4035706 8071412 14124971 16142824 28249942 32285648 56499884 64571296 112999768 225999536 451999072