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480980521 = 7259316553
BaseRepresentation
bin11100101010110…
…010111000101001
31020112001100020101
4130222302320221
51441112334041
6115421025401
714630160400
oct3452627051
91215040211
10480980521
1122755686a
121150b5261
1378856078
1447c44637
152c35cb31
hex1cab2e29

480980521 has 12 divisors (see below), whose sum is σ = 560485332. Its totient is φ = 411548928.

The previous prime is 480980509. The next prime is 480980557. The reversal of 480980521 is 125089084.

It can be written as a sum of positive squares in 2 ways, for example, as 395214400 + 85766121 = 19880^2 + 9261^2 .

It is a de Polignac number, because none of the positive numbers 2k-480980521 is a prime.

It is a super-3 number, since 3×4809805213 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480980561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20781 + ... + 37333.

It is an arithmetic number, because the mean of its divisors is an integer number (46707111).

Almost surely, 2480980521 is an apocalyptic number.

It is an amenable number.

480980521 is a deficient number, since it is larger than the sum of its proper divisors (79504811).

480980521 is a wasteful number, since it uses less digits than its factorization.

480980521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 17153 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 480980521 is about 21931.2681119902. The cubic root of 480980521 is about 783.5063058894.

The spelling of 480980521 in words is "four hundred eighty million, nine hundred eighty thousand, five hundred twenty-one".

Divisors: 1 7 49 593 4151 16553 29057 115871 811097 9815929 68711503 480980521