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4938112 = 27173223
BaseRepresentation
bin10010110101100110000000
3100021212211001
4102311212000
52231004422
6253501344
756654554
oct22654600
910255731
104938112
112873093
1217a1854
13103b87a
14927864
15678227
hex4b5980

4938112 has 32 divisors (see below), whose sum is σ = 9938880. Its totient is φ = 2443776.

The previous prime is 4938103. The next prime is 4938113. The reversal of 4938112 is 2118394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×49381124 (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22033 + ... + 22255.

It is an arithmetic number, because the mean of its divisors is an integer number (310590).

Almost surely, 24938112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969440).

4938112 is an abundant number, since it is smaller than the sum of its proper divisors (5000768).

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

4938112 is a wasteful number, since it uses less digits than its factorization.

4938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 4938112 is about 2222.1863108209. The cubic root of 4938112 is about 170.2891503550.

It can be divided in two parts, 4938 and 112, that added together give a triangular number (5050 = T100).

The spelling of 4938112 in words is "four million, nine hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 173 223 346 446 692 892 1384 1784 2768 3568 5536 7136 11072 14272 22144 28544 38579 77158 154316 308632 617264 1234528 2469056 4938112