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4133265040 = 245389132817
BaseRepresentation
bin1111011001011100…
…1001111010010000
3101200001110121201101
43312113021322100
531431103440130
61522050114144
7204266113252
oct36627117220
911601417641
104133265040
111831136223
1297427b954
1350b411378
142b2d23cd2
15192ceb1ca
hexf65c9e90

4133265040 has 40 divisors (see below), whose sum is σ = 9634617720. Its totient is φ = 1649043456.

The previous prime is 4133264977. The next prime is 4133265121. The reversal of 4133265040 is 405623314.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 4132946944 = 564^2 + 64288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35289 + ... + 97528.

It is an arithmetic number, because the mean of its divisors is an integer number (240865443).

Almost surely, 24133265040 is an apocalyptic number.

4133265040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133265040 is an abundant number, since it is smaller than the sum of its proper divisors (5501352680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4133265040 is a wasteful number, since it uses less digits than its factorization.

4133265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133219 (or 133213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4133265040 is about 64290.4739444344. The cubic root of 4133265040 is about 1604.8375776606.

Adding to 4133265040 its reverse (405623314), we get a palindrome (4538888354).

The spelling of 4133265040 in words is "four billion, one hundred thirty-three million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 778 1556 1945 3112 3890 6224 7780 15560 31120 132817 265634 531268 664085 1062536 1328170 2125072 2656340 5312680 10625360 51665813 103331626 206663252 258329065 413326504 516658130 826653008 1033316260 2066632520 4133265040