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9978241 = 713472333
BaseRepresentation
bin100110000100…
…000110000001
3200202221120111
4212010012001
510023300431
6553511321
7150546040
oct46040601
920687514
109978241
1156a5889
123412541
1320b49b0
14147a557
15d217b1
hex984181

9978241 has 16 divisors (see below), whose sum is σ = 12547584. Its totient is φ = 7723584.

The previous prime is 9978229. The next prime is 9978277. The reversal of 9978241 is 1428799.

It is a cyclic number.

It is not a de Polignac number, because 9978241 - 211 = 9976193 is a prime.

9978241 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9978194 and 9978203.

It is not an unprimeable number, because it can be changed into a prime (9978281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3111 + ... + 5443.

It is an arithmetic number, because the mean of its divisors is an integer number (784224).

Almost surely, 29978241 is an apocalyptic number.

9978241 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9978241 is a deficient number, since it is larger than the sum of its proper divisors (2569343).

9978241 is a wasteful number, since it uses less digits than its factorization.

9978241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400.

The product of its digits is 36288, while the sum is 40.

The square root of 9978241 is about 3158.8353866576. The cubic root of 9978241 is about 215.2870943817.

The spelling of 9978241 in words is "nine million, nine hundred seventy-eight thousand, two hundred forty-one".

Divisors: 1 7 13 47 91 329 611 2333 4277 16331 30329 109651 212303 767557 1425463 9978241