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935075241 = 32101932
BaseRepresentation
bin110111101111000…
…001110110101001
32102011111202002100
4313233001312221
53403334401431
6232441524013
732113002612
oct6757016651
92364452070
10935075241
1143a909961
122211a3609
1311b957779
148c28ac09
15571594e6
hex37bc1da9

935075241 has 9 divisors (see below), whose sum is σ = 1350796759. Its totient is φ = 623322336.

The previous prime is 935075231. The next prime is 935075269. The reversal of 935075241 is 142570539.

The square root of 935075241 is 30579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 669515625 + 265559616 = 25875^2 + 16296^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 935075241 - 25 = 935075209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 935075196 and 935075205.

It is not an unprimeable number, because it can be changed into a prime (935075231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86641 + ... + 96833.

Almost surely, 2935075241 is an apocalyptic number.

935075241 is the 30579-th square number.

935075241 is the 15290-th centered octagonal number.

It is an amenable number.

935075241 is a deficient number, since it is larger than the sum of its proper divisors (415721518).

935075241 is an frugal number, since it uses more digits than its factorization.

935075241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20392 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 935075241 is about 977.8723941809.

Multiplying 935075241 by its sum of digits (36), we get a square (33662708676 = 1834742).

The spelling of 935075241 in words is "nine hundred thirty-five million, seventy-five thousand, two hundred forty-one".

Divisors: 1 3 9 10193 30579 91737 103897249 311691747 935075241