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4083224645 = 5172414
BaseRepresentation
bin1111001101100001…
…0001000001000101
3101112120022022012102
43303120101001011
531330301142040
61513101401445
7203120560013
oct36330210105
911476268172
104083224645
111805968125
1295b569285
13500c40776
142aa4198b3
1518d714515
hexf3611045

4083224645 has 30 divisors (see below), whose sum is σ = 5335178010. Its totient is φ = 2999441920.

The previous prime is 4083224641. The next prime is 4083224657. The reversal of 4083224645 is 5464223804.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 3106724644 + 976500001 = 55738^2 + 31249^2 .

It is not a de Polignac number, because 4083224645 - 22 = 4083224641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4083224599 and 4083224608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083224641) 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 29 ways as a sum of consecutive naturals, for example, 99590825 + ... + 99590865.

It is an arithmetic number, because the mean of its divisors is an integer number (177839267).

Almost surely, 24083224645 is an apocalyptic number.

It is an amenable number.

4083224645 is a deficient number, since it is larger than the sum of its proper divisors (1251953365).

4083224645 is an frugal number, since it uses more digits than its factorization.

4083224645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The square root of 4083224645 is about 63900.1145930115. The cubic root of 4083224645 is about 1598.3348098826.

Multiplying 4083224645 by its product of nonzero digits (184320), we get a square (752619966566400 = 274339202).

The spelling of 4083224645 in words is "four billion, eighty-three million, two hundred twenty-four thousand, six hundred forty-five".

Divisors: 1 5 17 41 85 205 289 697 1445 1681 3485 8405 11849 28577 59245 68921 142885 344605 485809 1171657 2429045 2825761 5858285 14128805 19918169 48037937 99590845 240189685 816644929 4083224645