| Base | Representation |
|---|---|
| bin | 1010110011100… |
| … | …11001101100000 |
| 3 | 20022120110122200 |
| 4 | 11121303031200 |
| 5 | 141201240230 |
| 6 | 12554533200 |
| 7 | 2150336040 |
| oct | 531631540 |
| 9 | 208513580 |
| 10 | 90649440 |
| 11 | 471952a2 |
| 12 | 26437200 |
| 13 | 15a1b72b |
| 14 | c079720 |
| 15 | 7e59160 |
| hex | 5673360 |
90649440 has 432 divisors, whose sum is σ = 391311648. Its totient is φ = 18653184.
The previous prime is 90649439. The next prime is 90649453. The reversal of 90649440 is 4494609.
90649440 is a `hidden beast` number, since 9 + 0 + 649 + 4 + 4 + 0 = 666.
It is a Cunningham number, because it is equal to 95212-1.
It is a super-3 number, since 3×906494403 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 90649395 and 90649404.
It is a congruent number.
It is an unprimeable number.
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 71 ways as a sum of consecutive naturals, for example, 3941269 + ... + 3941291.
It is an arithmetic number, because the mean of its divisors is an integer number (905814).
Almost surely, 290649440 is an apocalyptic number.
90649440 is a gapful number since it is divisible by the number (90) 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 90649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195655824).
90649440 is an abundant number, since it is smaller than the sum of its proper divisors (300662208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90649440 is a wasteful number, since it uses less digits than its factorization.
90649440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 90649440 is about 9520.9999474845. Note that the first 4 decimals coincide. The cubic root of 90649440 is about 449.2158194475.
The spelling of 90649440 in words is "ninety million, six hundred forty-nine thousand, four hundred forty".
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