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480878613 = 3412774649
BaseRepresentation
bin11100101010011…
…010000000010101
31020111212011110000
4130222122000111
51441101103423
6115414521513
714626254315
oct3452320025
91214764400
10480878613
11227497246
12115066299
137881b877
1447c19445
152c33c843
hex1ca9a015

480878613 has 20 divisors (see below), whose sum is σ = 719066700. Its totient is φ = 320265792.

The previous prime is 480878591. The next prime is 480878617. The reversal of 480878613 is 316878084.

480878613 is a `hidden beast` number, since 480 + 87 + 86 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 412617969 + 68260644 = 20313^2 + 8262^2 .

It is not a de Polignac number, because 480878613 - 213 = 480870421 is a prime.

It is a super-3 number, since 3×4808786133 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480878617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101113 + ... + 105761.

It is an arithmetic number, because the mean of its divisors is an integer number (35953335).

Almost surely, 2480878613 is an apocalyptic number.

It is an amenable number.

480878613 is a deficient number, since it is larger than the sum of its proper divisors (238188087).

480878613 is a wasteful number, since it uses less digits than its factorization.

480878613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5929 counting only the distinct ones).

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

The square root of 480878613 is about 21928.9446394486. The cubic root of 480878613 is about 783.4509667111.

The spelling of 480878613 in words is "four hundred eighty million, eight hundred seventy-eight thousand, six hundred thirteen".

Divisors: 1 3 9 27 81 1277 3831 4649 11493 13947 34479 41841 103437 125523 376569 5936773 17810319 53430957 160292871 480878613