Search a number
-
+
452870676 = 22343721021
BaseRepresentation
bin11010111111100…
…100001000010100
31011120011012210000
4122333210020110
51411413330201
6112534331300
714136223446
oct3277441024
91146135700
10452870676
112126a7495
121077b9b30
1372a9351b
1444208496
1529b58d86
hex1afe4214

452870676 has 90 divisors (see below), whose sum is σ = 1217947038. Its totient is φ = 146733120.

The previous prime is 452870669. The next prime is 452870729. The reversal of 452870676 is 676078254.

It can be written as a sum of positive squares in 3 ways, for example, as 273042576 + 179828100 = 16524^2 + 13410^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 443046 + ... + 444066.

Almost surely, 2452870676 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 452870676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608973519).

452870676 is an abundant number, since it is smaller than the sum of its proper divisors (765076362).

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

452870676 is a wasteful number, since it uses less digits than its factorization.

452870676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 452870676 is about 21280.7583511490. The cubic root of 452870676 is about 767.9354804197.

The spelling of 452870676 in words is "four hundred fifty-two million, eight hundred seventy thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1021 1332 1369 1998 2042 2738 2997 3063 3996 4084 4107 5476 5994 6126 8214 9189 11988 12252 12321 16428 18378 24642 27567 36756 36963 37777 49284 55134 73926 75554 82701 110268 110889 113331 147852 151108 165402 221778 226662 330804 339993 443556 453324 679986 1019979 1359972 1397749 2039958 2795498 3059937 4079916 4193247 5590996 6119874 8386494 12239748 12579741 16772988 25159482 37739223 50318964 75478446 113217669 150956892 226435338 452870676