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480891741 = 31132294513
BaseRepresentation
bin11100101010011…
…101001101011101
31020111212211110020
4130222131031131
51441102013431
6115415102353
714626340511
oct3452351535
91214784406
10480891741
112274a60a0
121150719b9
1378824835
1447c20141
152c341696
hex1ca9d35d

480891741 has 16 divisors (see below), whose sum is σ = 699850560. Its totient is φ = 291294720.

The previous prime is 480891739. The next prime is 480891743. The reversal of 480891741 is 147198084.

It is an interprime number because it is at equal distance from previous prime (480891739) and next prime (480891743).

It is not a de Polignac number, because 480891741 - 21 = 480891739 is a prime.

It is a super-3 number, since 3×4808917413 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 480891693 and 480891702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480891743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104301 + ... + 108813.

It is an arithmetic number, because the mean of its divisors is an integer number (43740660).

Almost surely, 2480891741 is an apocalyptic number.

It is an amenable number.

480891741 is a deficient number, since it is larger than the sum of its proper divisors (218958819).

480891741 is a wasteful number, since it uses less digits than its factorization.

480891741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756.

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 480891741 is about 21929.2439678161. The cubic root of 480891741 is about 783.4580960576.

The spelling of 480891741 in words is "four hundred eighty million, eight hundred ninety-one thousand, seven hundred forty-one".

Divisors: 1 3 11 33 3229 4513 9687 13539 35519 49643 106557 148929 14572477 43717431 160297247 480891741