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938401089 = 31921575519
BaseRepresentation
bin110111111011101…
…101110101000001
32102101202201021220
4313323231311001
53410212313324
6233041105253
732153164143
oct6773556501
92371681256
10938401089
1144178069a
12222328229
1311c550522
148c8b4c93
15575b4b79
hex37eedd41

938401089 has 24 divisors (see below), whose sum is σ = 1329171840. Its totient is φ = 588792672.

The previous prime is 938401073. The next prime is 938401097. The reversal of 938401089 is 980104839.

It is not a de Polignac number, because 938401089 - 24 = 938401073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 938401089.

It is not an unprimeable number, because it can be changed into a prime (938401069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167272 + ... + 172790.

It is an arithmetic number, because the mean of its divisors is an integer number (55382160).

Almost surely, 2938401089 is an apocalyptic number.

It is an amenable number.

938401089 is a deficient number, since it is larger than the sum of its proper divisors (390770751).

938401089 is a wasteful number, since it uses less digits than its factorization.

938401089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 938401089 is about 30633.3329724338. The cubic root of 938401089 is about 979.0303782530.

The spelling of 938401089 in words is "nine hundred thirty-eight million, four hundred one thousand, eighty-nine".

Divisors: 1 3 19 57 157 361 471 1083 2983 5519 8949 16557 56677 104861 170031 314583 866483 1992359 2599449 5977077 16463177 49389531 312800363 938401089