Search a number
-
+
8938104 = 233783641
BaseRepresentation
bin100010000110…
…001001111000
3121211002202220
4202012021320
54242004404
6515324040
7135654420
oct42061170
917732686
108938104
11505536a
122bb0620
131b0c426
141289480
15bb84d9
hex886278

8938104 has 64 divisors (see below), whose sum is σ = 25885440. Its totient is φ = 2519040.

The previous prime is 8938103. The next prime is 8938121. The reversal of 8938104 is 4018398.

It is a super-2 number, since 2×89381042 = 159779406229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8938103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13624 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (404460).

Almost surely, 28938104 is an apocalyptic number.

8938104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8938104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942720).

8938104 is an abundant number, since it is smaller than the sum of its proper divisors (16947336).

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

8938104 is a wasteful number, since it uses less digits than its factorization.

8938104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8938104 is about 2989.6662021035. Note that the first 3 decimals coincide. The cubic root of 8938104 is about 207.5304373021.

The spelling of 8938104 in words is "eight million, nine hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 641 664 996 1162 1282 1743 1923 1992 2324 2564 3486 3846 4487 4648 5128 6972 7692 8974 13461 13944 15384 17948 26922 35896 53203 53844 106406 107688 159609 212812 319218 372421 425624 638436 744842 1117263 1276872 1489684 2234526 2979368 4469052 8938104