| Base | Representation |
|---|---|
| bin | 101110100111001… |
| … | …0010111011100000 |
| 3 | 11000222222212221200 |
| 4 | 1131032102323200 |
| 5 | 11200342404030 |
| 6 | 415110321200 |
| 7 | 53521011156 |
| oct | 13516227340 |
| 9 | 4028885850 |
| 10 | 1564028640 |
| 11 | 732942959 |
| 12 | 377959200 |
| 13 | 1bc04cb45 |
| 14 | 10ba0d3d6 |
| 15 | 92495d60 |
| hex | 5d392ee0 |
1564028640 has 288 divisors, whose sum is σ = 5572476000. Its totient is φ = 399114240.
The previous prime is 1564028629. The next prime is 1564028657. The reversal of 1564028640 is 468204651.
1564028640 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 0 + 2 + 8 + 640 = 666.
1564028640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
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 = 1564028595 and 1564028604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3483136 + ... + 3483584.
It is an arithmetic number, because the mean of its divisors is an integer number (19348875).
Almost surely, 21564028640 is an apocalyptic number.
1564028640 is a gapful number since it is divisible by the number (10) 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 1564028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786238000).
1564028640 is an abundant number, since it is smaller than the sum of its proper divisors (4008447360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1564028640 is a wasteful number, since it uses less digits than its factorization.
1564028640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 570 (or 559 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 1564028640 is about 39547.8019616767. The cubic root of 1564028640 is about 1160.7755020436.
The spelling of 1564028640 in words is "one billion, five hundred sixty-four million, twenty-eight thousand, six hundred forty".
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