| Base | Representation |
|---|---|
| bin | 11001010100001… |
| … | …111110100100000 |
| 3 | 1002121012221010000 |
| 4 | 121110033310200 |
| 5 | 1332213104310 |
| 6 | 110051340000 |
| 7 | 13345133304 |
| oct | 3124176440 |
| 9 | 1077187100 |
| 10 | 424738080 |
| 11 | 1a8832008 |
| 12 | ba2b1600 |
| 13 | 69cc3510 |
| 14 | 405a3d04 |
| 15 | 2744d4c0 |
| hex | 1950fd20 |
424738080 has 240 divisors, whose sum is σ = 1614917304. Its totient is φ = 104509440.
The previous prime is 424738073. The next prime is 424738087. The reversal of 424738080 is 80837424.
It is an interprime number because it is at equal distance from previous prime (424738073) and next prime (424738087).
It can be written as a sum of positive squares in 4 ways, for example, as 109746576 + 314991504 = 10476^2 + 17748^2 .
It is a tau number, because it is divible by the number of its divisors (240).
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 (424738087) 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 39 ways as a sum of consecutive naturals, for example, 167220 + ... + 169740.
Almost surely, 2424738080 is an apocalyptic number.
424738080 is a gapful number since it is divisible by the number (40) 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 424738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807458652).
424738080 is an abundant number, since it is smaller than the sum of its proper divisors (1190179224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424738080 is a wasteful number, since it uses less digits than its factorization.
424738080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2561 (or 2544 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 36.
The square root of 424738080 is about 20609.1746559633. The cubic root of 424738080 is about 751.6928162894.
The spelling of 424738080 in words is "four hundred twenty-four million, seven hundred thirty-eight thousand, eighty".
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