Base | Representation |
---|---|
bin | 1001110011101… |
… | …0000110100000 |
3 | 2212101202010000 |
4 | 2130322012200 |
5 | 41012214243 |
6 | 4025340000 |
7 | 1006422450 |
oct | 234720640 |
9 | 85352100 |
10 | 41132448 |
11 | 21244465 |
12 | 11937600 |
13 | 86a2136 |
14 | 5669d60 |
15 | 39275d3 |
hex | 273a1a0 |
41132448 has 120 divisors (see below), whose sum is σ = 138311712. Its totient is φ = 11746944.
The previous prime is 41132447. The next prime is 41132449. The reversal of 41132448 is 84423114.
41132448 is a `hidden beast` number, since 411 + 3 + 244 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (41132447) and next prime (41132449).
It is a Harshad number since it is a multiple of its sum of digits (27).
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 (41132447) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 17011 + ... + 19277.
Almost surely, 241132448 is an apocalyptic number.
41132448 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 41132448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69155856).
41132448 is an abundant number, since it is smaller than the sum of its proper divisors (97179264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41132448 is a wasteful number, since it uses less digits than its factorization.
41132448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2296 (or 2279 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
The square root of 41132448 is about 6413.4583494399. The cubic root of 41132448 is about 345.1926334424.
It can be divided in two parts, 4113 and 2448, that added together give a 8-th power (6561 = 38).
The spelling of 41132448 in words is "forty-one million, one hundred thirty-two thousand, four hundred forty-eight".
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