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632472201 = 328321012
BaseRepresentation
bin100101101100101…
…100001010001001
31122002002220202100
4211230230022021
52243403102301
6142432024013
721446632164
oct4554541211
91562086670
10632472201
112a50177a9
12157992009
13a1057c0a
145dddaadb
153a7d4286
hex25b2c289

632472201 has 27 divisors (see below), whose sum is σ = 933956647. Its totient is φ = 412443600.

The previous prime is 632472179. The next prime is 632472241. The reversal of 632472201 is 102274236.

The square root of 632472201 is 25149.

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

632472201 is a `hidden beast` number, since 632 + 4 + 7 + 2 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 607671801 + 24800400 = 24651^2 + 4980^2 .

It is not a de Polignac number, because 632472201 - 213 = 632464009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (632472241) 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 26 ways as a sum of consecutive naturals, for example, 6262051 + ... + 6262151.

Almost surely, 2632472201 is an apocalyptic number.

632472201 is the 25149-th square number.

632472201 is the 12575-th centered octagonal number.

It is an amenable number.

632472201 is a deficient number, since it is larger than the sum of its proper divisors (301484446).

632472201 is an equidigital number, since it uses as much as digits as its factorization.

632472201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 632472201 is about 858.3817599556.

The spelling of 632472201 in words is "six hundred thirty-two million, four hundred seventy-two thousand, two hundred one".

Divisors: 1 3 9 83 101 249 303 747 909 6889 8383 10201 20667 25149 30603 62001 75447 91809 695789 846683 2087367 2540049 6262101 7620147 70274689 210824067 632472201