Search a number
-
+
41780592 = 24327181229
BaseRepresentation
bin1001111101100…
…0010101110000
32220121200012100
42133120111300
541143434332
64051300400
71015062210
oct237302560
986550170
1041780592
1121647417
1211baa700
13886b159
145798240
153a0467c
hex27d8570

41780592 has 120 divisors (see below), whose sum is σ = 134956640. Its totient is φ = 11819520.

The previous prime is 41780579. The next prime is 41780593. The reversal of 41780592 is 29508714.

41780592 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41780593) 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 23 ways as a sum of consecutive naturals, for example, 182334 + ... + 182562.

Almost surely, 241780592 is an apocalyptic number.

41780592 is a gapful number since it is divisible by the number (42) 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 41780592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67478320).

41780592 is an abundant number, since it is smaller than the sum of its proper divisors (93176048).

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

41780592 is a wasteful number, since it uses less digits than its factorization.

41780592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 41780592 is about 6463.7908382001. The cubic root of 41780592 is about 346.9963152972.

The spelling of 41780592 in words is "forty-one million, seven hundred eighty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 181 229 252 336 362 458 504 543 687 724 916 1008 1086 1267 1374 1448 1603 1629 1832 2061 2172 2534 2748 2896 3206 3258 3664 3801 4122 4344 4809 5068 5496 6412 6516 7602 8244 8688 9618 10136 10992 11403 12824 13032 14427 15204 16488 19236 20272 22806 25648 26064 28854 30408 32976 38472 41449 45612 57708 60816 76944 82898 91224 115416 124347 165796 182448 230832 248694 290143 331592 373041 497388 580286 663184 746082 870429 994776 1160572 1492164 1740858 1989552 2321144 2611287 2984328 3481716 4642288 5222574 5968656 6963432 10445148 13926864 20890296 41780592