Search a number
-
+
453525030 = 232571395179
BaseRepresentation
bin11011000010000…
…011111000100110
31011121101110101100
4123002003320212
51412100300110
6113000340530
714144620260
oct3302037046
91147343340
10453525030
11213004082
12107a74746
1372c6230a
1444338b30
1529c37bc0
hex1b083e26

453525030 has 96 divisors (see below), whose sum is σ = 1357574400. Its totient is φ = 102897216.

The previous prime is 453525029. The next prime is 453525053. The reversal of 453525030 is 30525354.

It is a junction number, because it is equal to n+sod(n) for n = 453524985 and 453525003.

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 47 ways as a sum of consecutive naturals, for example, 84981 + ... + 90159.

It is an arithmetic number, because the mean of its divisors is an integer number (14141400).

Almost surely, 2453525030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453525030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678787200).

453525030 is an abundant number, since it is smaller than the sum of its proper divisors (904049370).

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

453525030 is a wasteful number, since it uses less digits than its factorization.

453525030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 453525030 is about 21296.1271126935. The cubic root of 453525030 is about 768.3051664045.

The spelling of 453525030 in words is "four hundred fifty-three million, five hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 139 210 278 315 417 630 695 834 973 1251 1390 1946 2085 2502 2919 4170 4865 5179 5838 6255 8757 9730 10358 12510 14595 15537 17514 25895 29190 31074 36253 43785 46611 51790 72506 77685 87570 93222 108759 155370 181265 217518 233055 326277 362530 466110 543795 652554 719881 1087590 1439762 1631385 2159643 3262770 3599405 4319286 5039167 6478929 7198810 10078334 10798215 12957858 15117501 21596430 25195835 30235002 32394645 45352503 50391670 64789290 75587505 90705006 151175010 226762515 453525030