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450045260 = 225753131463
BaseRepresentation
bin11010110100110…
…010010101001100
31011100211200000222
4122310302111030
51410202422020
6112354010512
714103215210
oct3264622514
91140750028
10450045260
11211047735
12106876a38
1372314492
1443ab0940
152979bb25
hex1ad3254c

450045260 has 96 divisors (see below), whose sum is σ = 1111283712. Its totient is φ = 149909760.

The previous prime is 450045187. The next prime is 450045263. The reversal of 450045260 is 62540054.

It is not an unprimeable number, because it can be changed into a prime (450045263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971789 + ... + 972251.

It is an arithmetic number, because the mean of its divisors is an integer number (11575872).

Almost surely, 2450045260 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 450045260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555641856).

450045260 is an abundant number, since it is smaller than the sum of its proper divisors (661238452).

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

450045260 is a wasteful number, since it uses less digits than its factorization.

450045260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 450045260 is about 21214.2701972045. The cubic root of 450045260 is about 766.3351227655.

The spelling of 450045260 in words is "four hundred fifty million, forty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 131 140 212 262 265 371 463 524 530 655 742 917 926 1060 1310 1484 1834 1852 1855 2315 2620 3241 3668 3710 4585 4630 6482 6943 7420 9170 9260 12964 13886 16205 18340 24539 27772 32410 34715 48601 49078 60653 64820 69430 97202 98156 121306 122695 138860 171773 194404 242612 243005 245390 303265 343546 424571 486010 490780 606530 687092 849142 858865 972020 1213060 1698284 1717730 2122855 3214609 3435460 4245710 6429218 8491420 12858436 16073045 22502263 32146090 45004526 64292180 90009052 112511315 225022630 450045260