| Base | Representation |
|---|---|
| bin | 10011100110011… |
| … | …00011111100000 |
| 3 | 102110101011121100 |
| 4 | 21303030133200 |
| 5 | 314042243311 |
| 6 | 24151554400 |
| 7 | 4034336232 |
| oct | 1163143740 |
| 9 | 373334540 |
| 10 | 164415456 |
| 11 | 84898847 |
| 12 | 4708ba00 |
| 13 | 280a846a |
| 14 | 17b9c252 |
| 15 | e67aa56 |
| hex | 9ccc7e0 |
164415456 has 36 divisors (see below), whose sum is σ = 467557272. Its totient is φ = 54805056.
The previous prime is 164415443. The next prime is 164415469. The reversal of 164415456 is 654514461.
164415456 is a `hidden beast` number, since 1 + 644 + 1 + 5 + 4 + 5 + 6 = 666.
164415456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (164415443) and next prime (164415469).
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×1644154563 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 164415456.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285156 + ... + 285731.
It is an arithmetic number, because the mean of its divisors is an integer number (12987702).
Almost surely, 2164415456 is an apocalyptic number.
164415456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
164415456 is an abundant number, since it is smaller than the sum of its proper divisors (303141816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164415456 is a wasteful number, since it uses less digits than its factorization.
164415456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 570903 (or 570892 counting only the distinct ones).
The product of its digits is 57600, while the sum is 36.
The square root of 164415456 is about 12822.4590465324. The cubic root of 164415456 is about 547.8321897246.
The spelling of 164415456 in words is "one hundred sixty-four million, four hundred fifteen thousand, four hundred fifty-six".
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