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958970545 = 513113137953
BaseRepresentation
bin111001001010001…
…011101010110001
32110211110202021121
4321022023222301
53430444024140
6235054022241
732523054331
oct7112135261
92424422247
10958970545
1145234a845
122291a7981
131238a2bc0
149150b0c1
15592c964a
hex3928bab1

958970545 has 32 divisors (see below), whose sum is σ = 1260699552. Its totient is φ = 696041472.

The previous prime is 958970539. The next prime is 958970557. The reversal of 958970545 is 545079859.

958970545 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 664195984 + 294774561 = 25772^2 + 17169^2 .

It is a 4-Lehmer number, since φ(958970545) divides (958970545-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 958970545 - 213 = 958962353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 958970492 and 958970501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005789 + ... + 1006741.

It is an arithmetic number, because the mean of its divisors is an integer number (39396861).

It is a Poulet number, since it divides 2958970544-1.

Almost surely, 2958970545 is an apocalyptic number.

It is an amenable number.

958970545 is a deficient number, since it is larger than the sum of its proper divisors (301729007).

958970545 is a wasteful number, since it uses less digits than its factorization.

958970545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 2268000, while the sum is 52.

The square root of 958970545 is about 30967.2495549734. The cubic root of 958970545 is about 986.1320849538.

The spelling of 958970545 in words is "nine hundred fifty-eight million, nine hundred seventy thousand, five hundred forty-five".

Divisors: 1 5 13 65 113 137 565 685 953 1469 1781 4765 7345 8905 12389 15481 61945 77405 107689 130561 201253 538445 652805 1006265 1399957 1697293 6999785 8486465 14753393 73766965 191794109 958970545