| Base | Representation |
|---|---|
| bin | 11000000101110… |
| … | …110101111100000 |
| 3 | 1001011112212212200 |
| 4 | 120011312233200 |
| 5 | 1311433010003 |
| 6 | 104035053200 |
| 7 | 13005354021 |
| oct | 3005665740 |
| 9 | 1034485780 |
| 10 | 404188128 |
| 11 | 198176583 |
| 12 | b3441200 |
| 13 | 65979996 |
| 14 | 3b974c48 |
| 15 | 2573e6a3 |
| hex | 18176be0 |
404188128 has 72 divisors (see below), whose sum is σ = 1157247000. Its totient is φ = 133810944.
The previous prime is 404188117. The next prime is 404188139. The reversal of 404188128 is 821881404.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (404188117) and next prime (404188139).
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×4041881282 = 326736085632288768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 404188092 and 404188101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38203 + ... + 47621.
It is an arithmetic number, because the mean of its divisors is an integer number (16072875).
Almost surely, 2404188128 is an apocalyptic number.
404188128 is a gapful number since it is divisible by the number (48) 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 404188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578623500).
404188128 is an abundant number, since it is smaller than the sum of its proper divisors (753058872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
404188128 is a wasteful number, since it uses less digits than its factorization.
404188128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9584 (or 9573 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 36.
The square root of 404188128 is about 20104.4305564719. The cubic root of 404188128 is about 739.3689092279.
The spelling of 404188128 in words is "four hundred four million, one hundred eighty-eight thousand, one hundred twenty-eight".
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