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480771963 = 3373122647
BaseRepresentation
bin11100101001111…
…111111101111011
31020111122202011000
4130221333331323
51441034200323
6115412340043
714625331350
oct3451777573
91214582130
10480771963
11227424101
12115014623
13787b2169
1447bcc627
152c31ae43
hex1ca7ff7b

480771963 has 48 divisors (see below), whose sum is σ = 841428480. Its totient is φ = 265764240.

The previous prime is 480771961. The next prime is 480771971. The reversal of 480771963 is 369177084.

It is not a de Polignac number, because 480771963 - 21 = 480771961 is a prime.

It is a super-3 number, since 3×4807719633 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480771961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180306 + ... + 182952.

It is an arithmetic number, because the mean of its divisors is an integer number (17529760).

Almost surely, 2480771963 is an apocalyptic number.

480771963 is a deficient number, since it is larger than the sum of its proper divisors (360656517).

480771963 is a wasteful number, since it uses less digits than its factorization.

480771963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 480771963 is about 21926.5127870348. The cubic root of 480771963 is about 783.3930441079.

The spelling of 480771963 in words is "four hundred eighty million, seven hundred seventy-one thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 961 1953 2647 2883 5859 6727 7941 8649 18529 20181 23823 25947 55587 60543 71469 82057 166761 181629 246171 500283 574399 738513 1723197 2215539 2543767 5169591 7631301 15508773 17806369 22893903 53419107 68681709 160257321 480771963