Search a number
-
+
75630609 = 3241972113
BaseRepresentation
bin1001000001000…
…00100000010001
312021022102200200
410200200200101
5123330134414
611301005413
71605564255
oct440404021
9167272620
1075630609
113976743a
12213b3869
1312890652
14a08a265
15698e109
hex4820811

75630609 has 24 divisors (see below), whose sum is σ = 113115912. Its totient is φ = 48660480.

The previous prime is 75630589. The next prime is 75630617. The reversal of 75630609 is 90603657.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6275025 + 69355584 = 2505^2 + 8328^2 .

It is not a de Polignac number, because 75630609 - 28 = 75630353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75630619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34737 + ... + 36849.

It is an arithmetic number, because the mean of its divisors is an integer number (4713163).

Almost surely, 275630609 is an apocalyptic number.

It is an amenable number.

75630609 is a deficient number, since it is larger than the sum of its proper divisors (37485303).

75630609 is a wasteful number, since it uses less digits than its factorization.

75630609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 75630609 is about 8696.5860543089. The cubic root of 75630609 is about 422.8949825644.

The spelling of 75630609 in words is "seventy-five million, six hundred thirty thousand, six hundred nine".

Divisors: 1 3 9 41 97 123 291 369 873 2113 3977 6339 11931 19017 35793 86633 204961 259899 614883 779697 1844649 8403401 25210203 75630609