Search a number
-
+
41114024 = 23717192273
BaseRepresentation
bin1001110011010…
…1100110101000
32212100210211122
42130311212220
541011122044
64025114412
71006314650
oct234654650
985323748
1041114024
1121231636
1211928a08
138696933
145663360
153921dee
hex27359a8

41114024 has 64 divisors (see below), whose sum is σ = 98236800. Its totient is φ = 15704064.

The previous prime is 41114023. The next prime is 41114039. The reversal of 41114024 is 42041114.

41114024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 41113993 and 41114011.

It is not an unprimeable number, because it can be changed into a prime (41114023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16952 + ... + 19224.

It is an arithmetic number, because the mean of its divisors is an integer number (1534950).

Almost surely, 241114024 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 41114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49118400).

41114024 is an abundant number, since it is smaller than the sum of its proper divisors (57122776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41114024 is a wasteful number, since it uses less digits than its factorization.

41114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 41114024 is about 6412.0218340240. The cubic root of 41114024 is about 345.1410863128.

Adding to 41114024 its reverse (42041114), we get a palindrome (83155138).

The spelling of 41114024 in words is "forty-one million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2273 2584 4522 4546 9044 9092 15911 18088 18184 31822 38641 43187 63644 77282 86374 127288 154564 172748 270487 302309 309128 345496 540974 604618 734179 1081948 1209236 1468358 2163896 2418472 2936716 5139253 5873432 10278506 20557012 41114024