| Base | Representation |
|---|---|
| bin | 1001111000110… |
| … | …1000000000000 |
| 3 | 2220000222220000 |
| 4 | 2132031000000 |
| 5 | 41104101000 |
| 6 | 4040520000 |
| 7 | 1012335423 |
| oct | 236150000 |
| 9 | 86028800 |
| 10 | 41472000 |
| 11 | 21456589 |
| 12 | 11a80000 |
| 13 | 879085b |
| 14 | 57179ba |
| 15 | 3993000 |
| hex | 278d000 |
41472000 has 260 divisors, whose sum is σ = 154613316. Its totient is φ = 11059200.
The previous prime is 41471981. The next prime is 41472043. The reversal of 41472000 is 27414.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)2 ⋅ (2!)2.
It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 40144896 = 1152^2 + 6336^2 .
It is an ABA number since it can be written as A⋅BA, here for A=3, B=240.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 3.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8294398 + ... + 8294402.
Almost surely, 241472000 is an apocalyptic number.
41472000 is a gapful number since it is divisible by the number (40) 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 41472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77306658).
41472000 is an abundant number, since it is smaller than the sum of its proper divisors (113141316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41472000 is an frugal number, since it uses more digits than its factorization.
41472000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 51 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 41472000 is about 6439.8757751994. The cubic root of 41472000 is about 346.1398968738.
Adding to 41472000 its reverse (27414), we get a palindrome (41499414).
The spelling of 41472000 in words is "forty-one million, four hundred seventy-two thousand".
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