| Base | Representation |
|---|---|
| bin | 111011000101010… |
| … | …0000111100100000 |
| 3 | 12010011100210200000 |
| 4 | 1312022200330200 |
| 5 | 13030002432442 |
| 6 | 524415100000 |
| 7 | 100061461500 |
| oct | 16612407440 |
| 9 | 5104323600 |
| 10 | 1982467872 |
| 11 | 928062500 |
| 12 | 473b11600 |
| 13 | 257949318 |
| 14 | 14b413a00 |
| 15 | b909cd4c |
| hex | 762a0f20 |
1982467872 has 648 divisors, whose sum is σ = 7649289648. Its totient is φ = 502951680.
The previous prime is 1982467871. The next prime is 1982467873. The reversal of 1982467872 is 2787642891.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1982467871) and next prime (1982467873).
It is a tau number, because it is divible by the number of its divisors (648).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (1982467871) 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 107 ways as a sum of consecutive naturals, for example, 46103883 + ... + 46103925.
Almost surely, 21982467872 is an apocalyptic number.
1982467872 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 1982467872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824644824).
1982467872 is an abundant number, since it is smaller than the sum of its proper divisors (5666821776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1982467872 is a wasteful number, since it uses less digits than its factorization.
1982467872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104 (or 66 counting only the distinct ones).
The product of its digits is 2709504, while the sum is 54.
The square root of 1982467872 is about 44524.9129364674. The cubic root of 1982467872 is about 1256.2287235425.
The spelling of 1982467872 in words is "one billion, nine hundred eighty-two million, four hundred sixty-seven thousand, eight hundred seventy-two".
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