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41663916 = 2233727873
BaseRepresentation
bin1001111011101…
…1110110101100
32220101202011000
42132323312230
541131221131
64045000300
71014065100
oct236736654
986352130
1041663916
1121577798
1211b53090
13882a008
145767900
1539cece6
hex27bbdac

41663916 has 72 divisors (see below), whose sum is σ = 125669040. Its totient is φ = 11902464.

The previous prime is 41663911. The next prime is 41663917. The reversal of 41663916 is 61936614.

41663916 = 8982 + 8992 + ... + 9462.

41663916 is a `hidden beast` number, since 4 + 1 + 6 + 639 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41663911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356 + ... + 9228.

Almost surely, 241663916 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 41663916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62834520).

41663916 is an abundant number, since it is smaller than the sum of its proper divisors (84005124).

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

41663916 is a wasteful number, since it uses less digits than its factorization.

41663916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7900 (or 7885 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 41663916 is about 6454.7591744387. The cubic root of 41663916 is about 346.6730081845.

The spelling of 41663916 in words is "forty-one million, six hundred sixty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 7873 15746 23619 31492 47238 55111 70857 94476 110222 141714 165333 212571 220444 283428 330666 385777 425142 495999 661332 771554 850284 991998 1157331 1487997 1543108 1983996 2314662 2975994 3471993 4629324 5951988 6943986 10415979 13887972 20831958 41663916