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41300224 = 287191213
BaseRepresentation
bin1001110110001…
…1000100000000
32212201021020221
42131203010000
541033101344
64033112424
71011021550
oct235430400
985637227
1041300224
1121349519
12119b8714
138730604
1456b1160
15395c184
hex2763100

41300224 has 72 divisors (see below), whose sum is σ = 99256640. Its totient is φ = 16754688.

The previous prime is 41300137. The next prime is 41300227. The reversal of 41300224 is 42200314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41300198 and 41300207.

It is not an unprimeable number, because it can be changed into a prime (41300227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33442 + ... + 34654.

Almost surely, 241300224 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 41300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49628320).

41300224 is an abundant number, since it is smaller than the sum of its proper divisors (57956416).

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

41300224 is a wasteful number, since it uses less digits than its factorization.

41300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 41300224 is about 6426.5250330175. The cubic root of 41300224 is about 345.6613345645.

Adding to 41300224 its product of nonzero digits (192), we get a triangular number (41300416 = T9088).

Adding to 41300224 its reverse (42200314), we get a palindrome (83500538).

The spelling of 41300224 in words is "forty-one million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1213 1216 1792 2128 2426 2432 4256 4852 4864 8491 8512 9704 16982 17024 19408 23047 33964 34048 38816 46094 67928 77632 92188 135856 155264 161329 184376 271712 310528 322658 368752 543424 645316 737504 1086848 1290632 1475008 2173696 2581264 2950016 5162528 5900032 10325056 20650112 41300224