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9097938 = 232292601
BaseRepresentation
bin100010101101…
…001011010010
3122010020000200
4202231023102
54312113223
6523000030
7140221413
oct42551322
918106020
109097938
115154463
123069016
131b670c5
1412cb80a
15beaa43
hex8ad2d2

9097938 has 36 divisors (see below), whose sum is σ = 20449338. Its totient is φ = 2923200.

The previous prime is 9097919. The next prime is 9097939. The reversal of 9097938 is 8397909.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8803089 + 294849 = 2967^2 + 543^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9097893 and 9097902.

It is not an unprimeable number, because it can be changed into a prime (9097939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14838 + ... + 15438.

Almost surely, 29097938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9097938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224669).

9097938 is an abundant number, since it is smaller than the sum of its proper divisors (11351400).

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

9097938 is a wasteful number, since it uses less digits than its factorization.

9097938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9097938 is about 3016.2788332646. The cubic root of 9097938 is about 208.7601775907.

The spelling of 9097938 in words is "nine million, ninety-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 601 841 1202 1682 1803 2523 3606 5046 5409 7569 10818 15138 17429 34858 52287 104574 156861 313722 505441 1010882 1516323 3032646 4548969 9097938