| Base | Representation |
|---|---|
| bin | 10011110100011… |
| … | …01001110100000 |
| 3 | 102120211112220000 |
| 4 | 21322031032200 |
| 5 | 320030102342 |
| 6 | 24255220000 |
| 7 | 4056063000 |
| oct | 1172151640 |
| 9 | 376745800 |
| 10 | 166253472 |
| 11 | 85933770 |
| 12 | 47817600 |
| 13 | 2859cc48 |
| 14 | 1811a000 |
| 15 | e8e044c |
| hex | 9e8d3a0 |
166253472 has 480 divisors, whose sum is σ = 658627200. Its totient is φ = 40642560.
The previous prime is 166253471. The next prime is 166253501. The reversal of 166253472 is 274352661.
166253472 = 633 + 643 + ... + 1613.
166253472 is a `hidden beast` number, since 166 + 25 + 3 + 472 = 666.
166253472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (60480) is a multiple of the sum of its prime divisors (40).
It is not an unprimeable number, because it can be changed into a prime (166253471) 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 79 ways as a sum of consecutive naturals, for example, 9779608 + ... + 9779624.
It is an arithmetic number, because the mean of its divisors is an integer number (1372140).
Almost surely, 2166253472 is an apocalyptic number.
166253472 is a gapful number since it is divisible by the number (12) 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 166253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329313600).
166253472 is an abundant number, since it is smaller than the sum of its proper divisors (492373728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166253472 is a wasteful number, since it uses less digits than its factorization.
166253472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 40 counting only the distinct ones).
The product of its digits is 60480, while the sum is 36.
The square root of 166253472 is about 12893.9315959098. The cubic root of 166253472 is about 549.8660522293.
The spelling of 166253472 in words is "one hundred sixty-six million, two hundred fifty-three thousand, four hundred seventy-two".
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