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4042332225 = 325223781127
BaseRepresentation
bin1111000011110001…
…0001100001000001
3101102201100202100100
43300330101201001
531234314112400
61505041113013
7202113154101
oct36074214101
911381322310
104042332225
111794878038
12949928769
134c5623979
142a4c13201
15189d38100
hexf0f11841

4042332225 has 36 divisors (see below), whose sum is σ = 7555070016. Its totient is φ = 2062172640.

The previous prime is 4042332221. The next prime is 4042332257. The reversal of 4042332225 is 5222332404.

It is a happy number.

4042332225 is a `hidden beast` number, since 404 + 2 + 3 + 32 + 225 = 666.

It is not a de Polignac number, because 4042332225 - 22 = 4042332221 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4042332221) 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 35 ways as a sum of consecutive naturals, for example, 385389 + ... + 395738.

It is an arithmetic number, because the mean of its divisors is an integer number (209863056).

Almost surely, 24042332225 is an apocalyptic number.

4042332225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4042332225 is a deficient number, since it is larger than the sum of its proper divisors (3512737791).

4042332225 is a wasteful number, since it uses less digits than its factorization.

4042332225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781166 (or 781158 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4042332225 is about 63579.3380352454. The cubic root of 4042332225 is about 1592.9812643281.

Adding to 4042332225 its reverse (5222332404), we get a palindrome (9264664629).

The spelling of 4042332225 in words is "four billion, forty-two million, three hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 1035 1725 5175 781127 2343381 3905635 7030143 11716905 17965921 19528175 35150715 53897763 58584525 89829605 161693289 175753575 269488815 449148025 808466445 1347444075 4042332225