Search a number
-
+
480737521 = 11711374493
BaseRepresentation
bin11100101001110…
…111100011110001
31020111120222220101
4130221313203301
51441032100041
6115411512401
714625126055
oct3451674361
91214528811
10480737521
11227400240
12114bb8701
137879c594
1447bbdc65
152c310b31
hex1ca778f1

480737521 has 16 divisors (see below), whose sum is σ = 535828608. Its totient is φ = 427638400.

The previous prime is 480737519. The next prime is 480737533. The reversal of 480737521 is 125737084.

It is a cyclic number.

It is not a de Polignac number, because 480737521 - 21 = 480737519 is a prime.

It is a super-3 number, since 3×4807375213 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480734521) 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, 104751 + ... + 109243.

It is an arithmetic number, because the mean of its divisors is an integer number (33489288).

Almost surely, 2480737521 is an apocalyptic number.

It is an amenable number.

480737521 is a deficient number, since it is larger than the sum of its proper divisors (55091087).

480737521 is a wasteful number, since it uses less digits than its factorization.

480737521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712.

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 480737521 is about 21925.7273767599. The cubic root of 480737521 is about 783.3743365087.

The spelling of 480737521 in words is "four hundred eighty million, seven hundred thirty-seven thousand, five hundred twenty-one".

Divisors: 1 11 71 137 781 1507 4493 9727 49423 106997 319003 615541 3509033 6770951 43703411 480737521