Base | Representation |
---|---|
bin | 1001110101001… |
… | …1110010100000 |
3 | 2212121002102220 |
4 | 2131103302200 |
5 | 41024101124 |
6 | 4031511040 |
7 | 1010341266 |
oct | 235236240 |
9 | 85532386 |
10 | 41237664 |
11 | 21306516 |
12 | 11988480 |
13 | 870acb0 |
14 | 5696436 |
15 | 3948879 |
hex | 2753ca0 |
41237664 has 96 divisors (see below), whose sum is σ = 117863424. Its totient is φ = 12549120.
The previous prime is 41237663. The next prime is 41237701. The reversal of 41237664 is 46673214.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (41237663) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215809 + ... + 215999.
It is an arithmetic number, because the mean of its divisors is an integer number (1227744).
Almost surely, 241237664 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 41237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58931712).
41237664 is an abundant number, since it is smaller than the sum of its proper divisors (76625760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41237664 is a wasteful number, since it uses less digits than its factorization.
41237664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 390 (or 382 counting only the distinct ones).
The product of its digits is 24192, while the sum is 33.
The square root of 41237664 is about 6421.6558612246. The cubic root of 41237664 is about 345.4867148419.
It can be divided in two parts, 41 and 237664, that added together give a triangular number (237705 = T689).
The spelling of 41237664 in words is "forty-one million, two hundred thirty-seven thousand, six hundred sixty-four".
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