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480462101 = 72191134567
BaseRepresentation
bin11100101000110…
…100010100010101
31020111002000002122
4130220310110111
51440444241401
6115401545325
714622601100
oct3450642425
91214060078
10480462101
11227232319
12114aa5245
1378704102
1447b4b737
152c2a921b
hex1ca34515

480462101 has 24 divisors (see below), whose sum is σ = 593657280. Its totient is φ = 386612352.

The previous prime is 480462089. The next prime is 480462107. The reversal of 480462101 is 101264084.

It is not a de Polignac number, because 480462101 - 210 = 480461077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480462107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102920 + ... + 107486.

It is an arithmetic number, because the mean of its divisors is an integer number (24735720).

Almost surely, 2480462101 is an apocalyptic number.

It is an amenable number.

480462101 is a deficient number, since it is larger than the sum of its proper divisors (113195179).

480462101 is a wasteful number, since it uses less digits than its factorization.

480462101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 480462101 is about 21919.4457274813. The cubic root of 480462101 is about 783.2247065709.

The spelling of 480462101 in words is "four hundred eighty million, four hundred sixty-two thousand, one hundred one".

Divisors: 1 7 19 49 113 133 791 931 2147 4567 5537 15029 31969 86773 105203 223783 516071 607411 3612497 4251877 9805349 25287479 68637443 480462101