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480883761 = 3253431529
BaseRepresentation
bin11100101010011…
…011010000110001
31020111212102111200
4130222123100301
51441101240021
6115415001413
714626305321
oct3452332061
91214772450
10480883761
112274a00a6
12115069269
1378821007
1447c1b281
152c33e126
hex1ca9b431

480883761 has 6 divisors (see below), whose sum is σ = 694609890. Its totient is φ = 320589168.

The previous prime is 480883729. The next prime is 480883769. The reversal of 480883761 is 167388084.

480883761 is a `hidden beast` number, since 480 + 88 + 37 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 365536161 + 115347600 = 19119^2 + 10740^2 .

It is not a de Polignac number, because 480883761 - 25 = 480883729 is a prime.

It is a super-3 number, since 3×4808837613 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480883769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26715756 + ... + 26715773.

It is an arithmetic number, because the mean of its divisors is an integer number (115768315).

Almost surely, 2480883761 is an apocalyptic number.

It is an amenable number.

480883761 is a deficient number, since it is larger than the sum of its proper divisors (213726129).

480883761 is a wasteful number, since it uses less digits than its factorization.

480883761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53431535 (or 53431532 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 480883761 is about 21929.0620182442. The cubic root of 480883761 is about 783.4537624209.

The spelling of 480883761 in words is "four hundred eighty million, eight hundred eighty-three thousand, seven hundred sixty-one".

Divisors: 1 3 9 53431529 160294587 480883761