| Base | Representation |
|---|---|
| bin | 1110000101110100… |
| … | …1101111101100000 |
| 3 | 100202121111120202100 |
| 4 | 3201131031331200 |
| 5 | 30221312023320 |
| 6 | 1423200450400 |
| 7 | 162506666613 |
| oct | 34135157540 |
| 9 | 10677446670 |
| 10 | 3782532960 |
| 11 | 1671160aa8 |
| 12 | 896919a00 |
| 13 | 48385cbab |
| 14 | 27c50617a |
| 15 | 17211a790 |
| hex | e174df60 |
3782532960 has 144 divisors (see below), whose sum is σ = 13085077824. Its totient is φ = 994830336.
The previous prime is 3782532917. The next prime is 3782532961. The reversal of 3782532960 is 692352873.
3782532960 is a `hidden beast` number, since 37 + 82 + 532 + 9 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3782532961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87129 + ... + 123111.
It is an arithmetic number, because the mean of its divisors is an integer number (90868596).
Almost surely, 23782532960 is an apocalyptic number.
3782532960 is a gapful number since it is divisible by the number (30) 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 3782532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542538912).
3782532960 is an abundant number, since it is smaller than the sum of its proper divisors (9302544864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3782532960 is a wasteful number, since it uses less digits than its factorization.
3782532960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36077 (or 36066 counting only the distinct ones).
The product of its (nonzero) digits is 544320, while the sum is 45.
The square root of 3782532960 is about 61502.3004447801. The cubic root of 3782532960 is about 1558.0960994223.
The spelling of 3782532960 in words is "three billion, seven hundred eighty-two million, five hundred thirty-two thousand, nine hundred sixty".
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