Search a number
-
+
41781924 = 223229311291
BaseRepresentation
bin1001111101100…
…0101010100100
32220121202000200
42133120222210
541144010144
64051310500
71015066122
oct237305244
986552020
1041781924
1121648418
1211bab430
13886b942
145798912
153a04c69
hex27d8aa4

41781924 has 72 divisors (see below), whose sum is σ = 112869120. Its totient is φ = 13003200.

The previous prime is 41781913. The next prime is 41781941. The reversal of 41781924 is 42918714.

41781924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3473+1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31719 + ... + 33009.

Almost surely, 241781924 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 41781924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56434560).

41781924 is an abundant number, since it is smaller than the sum of its proper divisors (71087196).

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

41781924 is a wasteful number, since it uses less digits than its factorization.

41781924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1356 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 41781924 is about 6463.8938728912. The cubic root of 41781924 is about 347.0000027683. Note that the first 5 decimals are identical.

The spelling of 41781924 in words is "forty-one million, seven hundred eighty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1291 1798 2582 2697 3596 3873 5164 5394 7746 8091 10788 11619 15492 16182 23238 32364 37439 40021 46476 74878 80042 112317 120063 149756 160084 224634 240126 336951 360189 449268 480252 673902 720378 1160609 1347804 1440756 2321218 3481827 4642436 6963654 10445481 13927308 20890962 41781924