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5929938 = 2327192477
BaseRepresentation
bin10110100111101111010010
3102011021100100
4112213233102
53004224223
6331033230
7101255310
oct26475722
912137310
105929938
113390283
121b9b816
1312c8151
14b050b0
157c2043
hex5a7bd2

5929938 has 48 divisors (see below), whose sum is σ = 15462720. Its totient is φ = 1604448.

The previous prime is 5929933. The next prime is 5929939. The reversal of 5929938 is 8399295.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5929893 and 5929902.

It is not an unprimeable number, because it can be changed into a prime (5929933) 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, 1156 + ... + 3632.

It is an arithmetic number, because the mean of its divisors is an integer number (322140).

Almost surely, 25929938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5929938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731360).

5929938 is an abundant number, since it is smaller than the sum of its proper divisors (9532782).

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

5929938 is a wasteful number, since it uses less digits than its factorization.

5929938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2508 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 5929938 is about 2435.1464021697. The cubic root of 5929938 is about 181.0020043936.

The spelling of 5929938 in words is "five million, nine hundred twenty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 2477 4954 7431 14862 17339 22293 34678 44586 47063 52017 94126 104034 141189 156051 282378 312102 329441 423567 658882 847134 988323 1976646 2964969 5929938