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482942664 = 233217571691
BaseRepresentation
bin11100110010010…
…001111011001000
31020122202000210100
4130302101323020
51442113131124
6115531045400
714652642051
oct3462217310
91218660710
10482942664
11228676a76
121158a0860
13790921b9
14481d5728
152c5e91c9
hex1cc91ec8

482942664 has 96 divisors (see below), whose sum is σ = 1389342240. Its totient is φ = 151027200.

The previous prime is 482942657. The next prime is 482942687. The reversal of 482942664 is 466249284.

482942664 is a `hidden beast` number, since 482 + 94 + 26 + 64 = 666.

It is a super-2 number, since 2×4829426642 = 466467233422833792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698559 + ... + 699249.

It is an arithmetic number, because the mean of its divisors is an integer number (14472315).

Almost surely, 2482942664 is an apocalyptic number.

482942664 is the 11747-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482942664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694671120).

482942664 is an abundant number, since it is smaller than the sum of its proper divisors (906399576).

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

482942664 is a wasteful number, since it uses less digits than its factorization.

482942664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1284 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 482942664 is about 21975.9564979548. The cubic root of 482942664 is about 784.5702891126.

The spelling of 482942664 in words is "four hundred eighty-two million, nine hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 571 612 691 1142 1224 1382 1713 2073 2284 2764 3426 4146 4568 5139 5528 6219 6852 8292 9707 10278 11747 12438 13704 16584 19414 20556 23494 24876 29121 35241 38828 41112 46988 49752 58242 70482 77656 87363 93976 105723 116484 140964 174726 211446 232968 281928 349452 394561 422892 698904 789122 845784 1183683 1578244 2367366 3156488 3551049 4734732 6707537 7102098 9469464 13415074 14204196 20122611 26830148 28408392 40245222 53660296 60367833 80490444 120735666 160980888 241471332 482942664