Search a number
-
+
482700465 = 34513175393
BaseRepresentation
bin11100110001010…
…110110010110001
31020122021201120000
4130301112302301
51442032403330
6115521540213
714650612662
oct3461266261
91218251500
10482700465
11228521005
121157a4669
1379008ba0
1448171369
152c59c560
hex1cc56cb1

482700465 has 80 divisors (see below), whose sum is σ = 986843088. Its totient is φ = 223617024.

The previous prime is 482700451. The next prime is 482700467. The reversal of 482700465 is 564007284.

It can be written as a sum of positive squares in 8 ways, for example, as 13024881 + 469675584 = 3609^2 + 21672^2 .

It is not a de Polignac number, because 482700465 - 26 = 482700401 is a prime.

It is a super-2 number, since 2×4827004652 = 465999477822432450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (482700467) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86809 + ... + 92201.

Almost surely, 2482700465 is an apocalyptic number.

482700465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

482700465 is an abundant number, since it is smaller than the sum of its proper divisors (504142623).

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

482700465 is a wasteful number, since it uses less digits than its factorization.

482700465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 482700465 is about 21970.4452617602. The cubic root of 482700465 is about 784.4391114192.

The spelling of 482700465 in words is "four hundred eighty-two million, seven hundred thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 351 405 459 585 663 765 1053 1105 1377 1755 1989 2295 3315 5265 5393 5967 6885 9945 16179 17901 26965 29835 48537 70109 80895 89505 91681 145611 210327 242685 275043 350545 436833 458405 630981 728055 825129 1051635 1191853 1375215 1892943 2184165 2475387 3154905 3575559 4125645 5678829 5959265 7426161 9464715 10726677 12376935 17877795 28394145 32180031 37130805 53633385 96540093 160900155 482700465