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41300532 = 223272131801
BaseRepresentation
bin1001110110001…
…1001000110100
32212201021200100
42131203020310
541033104112
64033114100
71011022500
oct235431064
985637610
1041300532
1121349779
12119b8930
1387307b0
1456b1300
15395c2dc
hex2763234

41300532 has 108 divisors (see below), whose sum is σ = 130857636. Its totient is φ = 10886400.

The previous prime is 41300513. The next prime is 41300543. The reversal of 41300532 is 23500314.

41300532 is a `hidden beast` number, since 4 + 130 + 0 + 532 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 35569296 = 2394^2 + 5964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22032 + ... + 23832.

Almost surely, 241300532 is an apocalyptic number.

41300532 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 41300532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65428818).

41300532 is an abundant number, since it is smaller than the sum of its proper divisors (89557104).

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

41300532 is a wasteful number, since it uses less digits than its factorization.

41300532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 41300532 is about 6426.5489961565. The cubic root of 41300532 is about 345.6621938289.

Adding to 41300532 its reverse (23500314), we get a palindrome (64800846).

The spelling of 41300532 in words is "forty-one million, three hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1801 1911 2548 3276 3602 3822 5403 5733 7204 7644 10806 11466 12607 16209 21612 22932 23413 25214 32418 37821 46826 50428 64836 70239 75642 88249 93652 113463 140478 151284 163891 176498 210717 226926 264747 280956 327782 352996 421434 453852 491673 529494 655564 794241 842868 983346 1058988 1147237 1475019 1588482 1966692 2294474 2950038 3176964 3441711 4588948 5900076 6883422 10325133 13766844 20650266 41300532