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938082041 = 1319311011213
BaseRepresentation
bin110111111010011…
…111111011111001
32102101011111122022
4313322133323321
53410122111131
6233030204225
732150365031
oct6772377371
92371144568
10938082041
11441582a16
122221b3675
1311c46b240
148c8308c1
155755037b
hex37e9fef9

938082041 has 32 divisors (see below), whose sum is σ = 1109498880. Its totient is φ = 785376000.

The previous prime is 938082037. The next prime is 938082073. The reversal of 938082041 is 140280839.

It is a happy number.

It is not a de Polignac number, because 938082041 - 22 = 938082037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 938081992 and 938082010.

It is not an unprimeable number, because it can be changed into a prime (938082001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772751 + ... + 773963.

It is an arithmetic number, because the mean of its divisors is an integer number (34671840).

Almost surely, 2938082041 is an apocalyptic number.

It is an amenable number.

938082041 is a deficient number, since it is larger than the sum of its proper divisors (171416839).

938082041 is a wasteful number, since it uses less digits than its factorization.

938082041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 938082041 is about 30628.1249997449. The cubic root of 938082041 is about 978.9194118109.

The spelling of 938082041 in words is "nine hundred thirty-eight million, eighty-two thousand, forty-one".

Divisors: 1 13 19 31 101 247 403 589 1213 1313 1919 3131 7657 15769 23047 24947 37603 40703 59489 122513 299611 488839 714457 773357 1592669 2327747 3797903 9287941 30260711 49372739 72160157 938082041