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452453130 = 2325171132617
BaseRepresentation
bin11010111101111…
…110001100001010
31011112101000000100
4122331332030022
51411312000010
6112521350230
714132534223
oct3275761412
91145330010
10452453130
11212441808
12107638376
137297845c
144413a24a
1529ac52c0
hex1af7e30a

452453130 has 96 divisors (see below), whose sum is σ = 1257079824. Its totient is φ = 112508928.

The previous prime is 452453129. The next prime is 452453173. The reversal of 452453130 is 31354254.

452453130 is a `hidden beast` number, since 4 + 524 + 5 + 3 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 255584169 + 196868961 = 15987^2 + 14031^2 .

It is a junction number, because it is equal to n+sod(n) for n = 452453094 and 452453103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171582 + ... + 174198.

Almost surely, 2452453130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452453130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628539912).

452453130 is an abundant number, since it is smaller than the sum of its proper divisors (804626694).

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

452453130 is a wasteful number, since it uses less digits than its factorization.

452453130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 452453130 is about 21270.9456771437. The cubic root of 452453130 is about 767.6993961088.

The spelling of 452453130 in words is "four hundred fifty-two million, four hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 113 153 170 226 255 306 339 510 565 678 765 1017 1130 1530 1695 1921 2034 2617 3390 3842 5085 5234 5763 7851 9605 10170 11526 13085 15702 17289 19210 23553 26170 28815 34578 39255 44489 47106 57630 78510 86445 88978 117765 133467 172890 222445 235530 266934 295721 400401 444890 591442 667335 800802 887163 1334670 1478605 1774326 2002005 2661489 2957210 4004010 4435815 5027257 5322978 8871630 10054514 13307445 15081771 25136285 26614890 30163542 45245313 50272570 75408855 90490626 150817710 226226565 452453130