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4231825 = 521329449
BaseRepresentation
bin10000001001001010010001
321221222222021
4100021022101
52040404300
6230411441
750653453
oct20111221
97858867
104231825
112430484
121500b81
13b52250
147c22d3
15588d1a
hex409291

4231825 has 24 divisors (see below), whose sum is σ = 5859000. Its totient is φ = 3010560.

The previous prime is 4231823. The next prime is 4231831. The reversal of 4231825 is 5281324.

It can be written as a sum of positive squares in 12 ways, for example, as 1597696 + 2634129 = 1264^2 + 1623^2 .

It is not a de Polignac number, because 4231825 - 21 = 4231823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 411 + 211 + 37 + 1 + 83 + 215 + 5 .

It is a self number, because there is not a number n which added to its sum of digits gives 4231825.

It is not an unprimeable number, because it can be changed into a prime (4231823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9201 + ... + 9649.

It is an arithmetic number, because the mean of its divisors is an integer number (244125).

Almost surely, 24231825 is an apocalyptic number.

It is an amenable number.

4231825 is a deficient number, since it is larger than the sum of its proper divisors (1627175).

4231825 is a wasteful number, since it uses less digits than its factorization.

4231825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 4231825 is about 2057.1400049583. The cubic root of 4231825 is about 161.7493583884.

The spelling of 4231825 in words is "four million, two hundred thirty-one thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 29 65 145 325 377 449 725 1885 2245 5837 9425 11225 13021 29185 65105 145925 169273 325525 846365 4231825