Base | Representation |
---|---|
bin | 1001111110010… |
… | …0010101000000 |
3 | 2220201011120000 |
4 | 2133210111000 |
5 | 41202022241 |
6 | 4052320000 |
7 | 1015355316 |
oct | 237442500 |
9 | 86634500 |
10 | 41829696 |
11 | 216802a7 |
12 | 12013000 |
13 | 88875cc |
14 | 57ac0b6 |
15 | 3a13eb6 |
hex | 27e4540 |
41829696 has 70 divisors (see below), whose sum is σ = 124011690. Its totient is φ = 13941504.
The previous prime is 41829677. The next prime is 41829701. The reversal of 41829696 is 69692814.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 21902400 + 19927296 = 4680^2 + 4464^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1150 + ... + 9218.
Almost surely, 241829696 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 41829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62005845).
41829696 is an abundant number, since it is smaller than the sum of its proper divisors (82181994).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41829696 is an equidigital number, since it uses as much as digits as its factorization.
41829696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8093 (or 8074 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 41829696 is about 6467.5881130449. The cubic root of 41829696 is about 347.1322016456.
The spelling of 41829696 in words is "forty-one million, eight hundred twenty-nine thousand, six hundred ninety-six".
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