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483956001 = 3273332
BaseRepresentation
bin11100110110001…
…001010100100001
31020201122111211100
4130312021110201
51442343043001
6120004505013
714664362304
oct3466112441
91221574740
10483956001
112291a9341
121160ab169
13793584c9
14483bab3b
152c749586
hex1cd89521

483956001 has 9 divisors (see below), whose sum is σ = 699142899. Its totient is φ = 322593336.

The previous prime is 483955999. The next prime is 483956003. The reversal of 483956001 is 100659384.

The square root of 483956001 is 21999.

It is a perfect power (a square), and thus also a powerful number.

483956001 is a `hidden beast` number, since 48 + 3 + 9 + 5 + 600 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (483955999) and next prime (483956003).

It can be written as a sum of positive squares in only one way, i.e., 3294225 + 480661776 = 1815^2 + 21924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 483956001 - 21 = 483955999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (483956003) 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 8 ways as a sum of consecutive naturals, for example, 62331 + ... + 69663.

Almost surely, 2483956001 is an apocalyptic number.

483956001 is the 21999-th square number.

483956001 is the 11000-th centered octagonal number.

It is an amenable number.

483956001 is a deficient number, since it is larger than the sum of its proper divisors (215186898).

483956001 is an frugal number, since it uses more digits than its factorization.

483956001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 483956001 is about 785.1186486785.

Multiplying 483956001 by its sum of digits (36), we get a square (17422416036 = 1319942).

It can be divided in two parts, 483 and 956001, that added together give a square (956484 = 9782).

The spelling of 483956001 in words is "four hundred eighty-three million, nine hundred fifty-six thousand, one".

Divisors: 1 3 9 7333 21999 65997 53772889 161318667 483956001