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4231249 = 114172
BaseRepresentation
bin10000001001000001010001
321221222011221
4100021001101
52040344444
6230405041
750652001
oct20110121
97858157
104231249
112430000
121500781
13b51bc9
147c2001
15588a84
hex409051

4231249 has 15 divisors (see below), whose sum is σ = 4944235. Its totient is φ = 3620320.

The previous prime is 4231247. The next prime is 4231261. The reversal of 4231249 is 9421324.

The square root of 4231249 is 2057.

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

It can be written as a sum of positive squares in only one way, i.e., 3294225 + 937024 = 1815^2 + 968^2 .

It is not a de Polignac number, because 4231249 - 21 = 4231247 is a prime.

It is a Duffinian number.

4231249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4231247) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 248889 + ... + 248905.

Almost surely, 24231249 is an apocalyptic number.

4231249 is the 2057-th square number.

4231249 is the 1029-th centered octagonal number.

It is an amenable number.

4231249 is a deficient number, since it is larger than the sum of its proper divisors (712986).

4231249 is an frugal number, since it uses more digits than its factorization.

4231249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The cubic root of 4231249 is about 161.7420194067.

Multiplying 4231249 by its sum of digits (25), we get a square (105781225 = 102852).

The spelling of 4231249 in words is "four million, two hundred thirty-one thousand, two hundred forty-nine".

Divisors: 1 11 17 121 187 289 1331 2057 3179 14641 22627 34969 248897 384659 4231249