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485530416 = 24337222937
BaseRepresentation
bin11100111100001…
…001101100110000
31020211121111112000
4130330021230300
51443243433131
6120102334000
715013640400
oct3474115460
91224544460
10485530416
1122a084208
1211672a300
137978a007
14486aa800
152c95ace6
hex1cf09b30

485530416 has 120 divisors (see below), whose sum is σ = 1621257840. Its totient is φ = 138716928.

The previous prime is 485530393. The next prime is 485530417. The reversal of 485530416 is 614035584.

It is a happy number.

485530416 is a `hidden beast` number, since 4 + 85 + 530 + 41 + 6 = 666.

It is a super-2 number, since 2×4855304162 = 471479569722266112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (485530417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9700 + ... + 32636.

It is an arithmetic number, because the mean of its divisors is an integer number (13510482).

Almost surely, 2485530416 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 485530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810628920).

485530416 is an abundant number, since it is smaller than the sum of its proper divisors (1135727424).

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

485530416 is a wasteful number, since it uses less digits than its factorization.

485530416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968 (or 22949 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 485530416 is about 22034.7547297446. The cubic root of 485530416 is about 785.9691148053.

The spelling of 485530416 in words is "four hundred eighty-five million, five hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 22937 45874 68811 91748 137622 160559 183496 206433 275244 321118 366992 412866 481677 550488 619299 642236 825732 963354 1100976 1123913 1238598 1284472 1445031 1651464 1926708 2247826 2477196 2568944 2890062 3302928 3371739 3853416 4335093 4495652 4954392 5780124 6743478 7706832 8670186 8991304 9908784 10115217 11560248 13486956 17340372 17982608 20230434 23120496 26973912 30345651 34680744 40460868 53947824 60691302 69361488 80921736 121382604 161843472 242765208 485530416