Search a number
-
+
41820324 = 22372135471
BaseRepresentation
bin1001111110001…
…0000010100100
32220200200200220
42133202002210
541201222244
64052204340
71015316100
oct237420244
986620626
1041820324
1121674257
12120096b0
138883270
1457a8900
153a11319
hex27e20a4

41820324 has 72 divisors (see below), whose sum is σ = 122266368. Its totient is φ = 11027520.

The previous prime is 41820301. The next prime is 41820329. The reversal of 41820324 is 42302814.

It is a junction number, because it is equal to n+sod(n) for n = 41820294 and 41820303.

It is not an unprimeable number, because it can be changed into a prime (41820329) 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 23 ways as a sum of consecutive naturals, for example, 4909 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (1698144).

Almost surely, 241820324 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 41820324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61133184).

41820324 is an abundant number, since it is smaller than the sum of its proper divisors (80446044).

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

41820324 is a wasteful number, since it uses less digits than its factorization.

41820324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 41820324 is about 6466.8635365222. The cubic root of 41820324 is about 347.1062745627.

The spelling of 41820324 in words is "forty-one million, eight hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 5471 7644 10942 16413 21884 32826 38297 65652 71123 76594 114891 142246 153188 213369 229782 268079 284492 426738 459564 497861 536158 804237 853476 995722 1072316 1493583 1608474 1991444 2987166 3216948 3485027 5974332 6970054 10455081 13940108 20910162 41820324