| Base | Representation |
|---|---|
| bin | 1100011111000… |
| … | …10100111100000 |
| 3 | 21022002012111100 |
| 4 | 12033202213200 |
| 5 | 203303042443 |
| 6 | 14220514400 |
| 7 | 2411152260 |
| oct | 617424740 |
| 9 | 238065440 |
| 10 | 104737248 |
| 11 | 54137710 |
| 12 | 2b0aba00 |
| 13 | 18911b05 |
| 14 | dca57a0 |
| 15 | 92dd3d3 |
| hex | 63e29e0 |
104737248 has 144 divisors (see below), whose sum is σ = 371419776. Its totient is φ = 27198720.
The previous prime is 104737231. The next prime is 104737249. The reversal of 104737248 is 842737401.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1047372482 = 21939782237227008, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (104737249) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19815 + ... + 24537.
It is an arithmetic number, because the mean of its divisors is an integer number (2579304).
Almost surely, 2104737248 is an apocalyptic number.
104737248 is a gapful number since it is divisible by the number (18) 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 104737248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185709888).
104737248 is an abundant number, since it is smaller than the sum of its proper divisors (266682528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104737248 is a wasteful number, since it uses less digits than its factorization.
104737248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4757 (or 4746 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 104737248 is about 10234.1217503018. The cubic root of 104737248 is about 471.3755507470.
The spelling of 104737248 in words is "one hundred four million, seven hundred thirty-seven thousand, two hundred forty-eight".
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