| Base | Representation |
|---|---|
| bin | 1110111010001110… |
| … | …1011110101100100 |
| 3 | 101022221002112100200 |
| 4 | 3232203223311210 |
| 5 | 31144044111004 |
| 6 | 1501051510500 |
| 7 | 201116155266 |
| oct | 35643536544 |
| 9 | 11287075320 |
| 10 | 4002332004 |
| 11 | 1774237300 |
| 12 | 938458430 |
| 13 | 4ba259cb8 |
| 14 | 29d79db36 |
| 15 | 186586239 |
| hex | ee8ebd64 |
4002332004 has 216 divisors, whose sum is σ = 11628175104. Its totient is φ = 1158537600.
The previous prime is 4002331997. The next prime is 4002332011.
4002332004 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (4002331997) and next prime (4002332011).
It is a super-2 number, since 2×40023320042 = 32037322940485312032, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14448714 + ... + 14448990.
It is an arithmetic number, because the mean of its divisors is an integer number (53834144).
Almost surely, 24002332004 is an apocalyptic number.
4002332004 is a gapful number since it is divisible by the number (44) 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 4002332004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814087552).
4002332004 is an abundant number, since it is smaller than the sum of its proper divisors (7625843100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4002332004 is a wasteful number, since it uses less digits than its factorization.
4002332004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447 (or 431 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 4002332004 is about 63263.9866274644. The cubic root of 4002332004 is about 1587.7094775054.
It can be divided in two parts, 40023 and 32004, that added together give a palindrome (72027).
The spelling of 4002332004 in words is "four billion, two million, three hundred thirty-two thousand, four".
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