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41316642 = 2343761113
BaseRepresentation
bin1001110110011…
…1000100100010
32212202002210000
42131213010202
541034113032
64033320430
71011120453
oct235470442
985662700
1041316642
112135a894
1211a06116
138737c23
1456b712a
153961e7c
hex2767122

41316642 has 80 divisors (see below), whose sum is σ = 97495992. Its totient is φ = 13063680.

The previous prime is 41316641. The next prime is 41316673. The reversal of 41316642 is 24661314.

41316642 is a `hidden beast` number, since 4 + 1 + 3 + 16 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20331081 + 20985561 = 4509^2 + 4581^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3456) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (41316641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 365578 + ... + 365690.

Almost surely, 241316642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41316642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48747996).

41316642 is an abundant number, since it is smaller than the sum of its proper divisors (56179350).

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

41316642 is a wasteful number, since it uses less digits than its factorization.

41316642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 41316642 is about 6427.8022682718. The cubic root of 41316642 is about 345.7071318622.

Adding to 41316642 its reverse (24661314), we get a palindrome (65977956).

The spelling of 41316642 in words is "forty-one million, three hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 61 74 81 111 113 122 162 183 222 226 333 339 366 549 666 678 999 1017 1098 1647 1998 2034 2257 2997 3051 3294 4181 4514 4941 5994 6102 6771 6893 8362 9153 9882 12543 13542 13786 18306 20313 20679 25086 37629 40626 41358 60939 62037 75258 112887 121878 124074 182817 186111 225774 255041 338661 365634 372222 510082 558333 677322 765123 1116666 1530246 2295369 4590738 6886107 13772214 20658321 41316642