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41052312 = 23337191429
BaseRepresentation
bin1001110010011…
…0100010011000
32212020200012000
42130212202120
541002133222
64023521000
71005640020
oct234464230
985220160
1041052312
112119a234
12118b9160
138674812
145648a80
15390d9ac
hex2726898

41052312 has 128 divisors (see below), whose sum is σ = 137280000. Its totient is φ = 11104128.

The previous prime is 41052299. The next prime is 41052317. The reversal of 41052312 is 21325014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41052317) 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 31 ways as a sum of consecutive naturals, for example, 28014 + ... + 29442.

It is an arithmetic number, because the mean of its divisors is an integer number (1072500).

Almost surely, 241052312 is an apocalyptic number.

41052312 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 41052312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640000).

41052312 is an abundant number, since it is smaller than the sum of its proper divisors (96227688).

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

41052312 is a wasteful number, since it uses less digits than its factorization.

41052312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41052312 is about 6407.2078162020. The cubic root of 41052312 is about 344.9683146704.

Adding to 41052312 its reverse (21325014), we get a palindrome (62377326).

The spelling of 41052312 in words is "forty-one million, fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1429 1512 1596 2052 2394 2858 3192 3591 4104 4287 4788 5716 7182 8574 9576 10003 11432 12861 14364 17148 20006 25722 27151 28728 30009 34296 38583 40012 51444 54302 60018 77166 80024 81453 90027 102888 108604 120036 154332 162906 180054 190057 217208 240072 244359 270081 308664 325812 360108 380114 488718 540162 570171 651624 720216 733077 760228 977436 1080324 1140342 1466154 1520456 1710513 1954872 2160648 2280684 2932308 3421026 4561368 5131539 5864616 6842052 10263078 13684104 20526156 41052312