| Base | Representation |
|---|---|
| bin | 1010110011100… |
| … | …01100110000000 |
| 3 | 20022120010120100 |
| 4 | 11121301212000 |
| 5 | 141201032231 |
| 6 | 12554442400 |
| 7 | 2150310525 |
| oct | 531614600 |
| 9 | 208503510 |
| 10 | 90642816 |
| 11 | 47190320 |
| 12 | 26433400 |
| 13 | 15a18704 |
| 14 | c07714c |
| 15 | 7e571e6 |
| hex | 5671980 |
90642816 has 192 divisors, whose sum is σ = 297872640. Its totient is φ = 26188800.
The previous prime is 90642763. The next prime is 90642817. The reversal of 90642816 is 61824609.
90642816 is a `hidden beast` number, since 9 + 0 + 642 + 8 + 1 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×906428162 = 16432240184819712, 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 (90642817) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291301 + ... + 291611.
It is an arithmetic number, because the mean of its divisors is an integer number (1551420).
Almost surely, 290642816 is an apocalyptic number.
90642816 is a gapful number since it is divisible by the number (96) 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 90642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936320).
90642816 is an abundant number, since it is smaller than the sum of its proper divisors (207229824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90642816 is a wasteful number, since it uses less digits than its factorization.
90642816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 365 (or 350 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 90642816 is about 9520.6520785081. The cubic root of 90642816 is about 449.2048773757.
The spelling of 90642816 in words is "ninety million, six hundred forty-two thousand, eight hundred sixteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •