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480850201 = 13110933353
BaseRepresentation
bin11100101010010…
…011000100011001
31020111210201110201
4130222103010121
51441044201301
6115414142201
714626105426
oct3452230431
91214721421
10480850201
11227477967
12115051961
137880b960
1447c0cd4d
152c334201
hex1ca93119

480850201 has 8 divisors (see below), whose sum is σ = 518321160. Its totient is φ = 443448192.

The previous prime is 480850171. The next prime is 480850273. The reversal of 480850201 is 102058084.

It can be written as a sum of positive squares in 4 ways, for example, as 61214976 + 419635225 = 7824^2 + 20485^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480850201 - 29 = 480849689 is a prime.

It is a super-3 number, since 3×4808502013 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480850201.

It is not an unprimeable number, because it can be changed into a prime (480860201) 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 7 ways as a sum of consecutive naturals, for example, 2260 + ... + 31093.

It is an arithmetic number, because the mean of its divisors is an integer number (64790145).

Almost surely, 2480850201 is an apocalyptic number.

It is an amenable number.

480850201 is a deficient number, since it is larger than the sum of its proper divisors (37470959).

480850201 is a wasteful number, since it uses less digits than its factorization.

480850201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34475.

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 480850201 is about 21928.2968102860. The cubic root of 480850201 is about 783.4355367276.

The spelling of 480850201 in words is "four hundred eighty million, eight hundred fifty thousand, two hundred one".

Divisors: 1 13 1109 14417 33353 433589 36988477 480850201