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41916852 = 2234532441
BaseRepresentation
bin1001111111100…
…1100110110100
32220212121010000
42133321212310
541212314402
64054231300
71016200365
oct237714664
986777100
1041916852
112172a82a
1212055530
1388b8193
1457d1b6c
153a2ec1c
hex27f99b4

41916852 has 60 divisors (see below), whose sum is σ = 111692196. Its totient is φ = 13703040.

The previous prime is 41916851. The next prime is 41916863. The reversal of 41916852 is 25861914.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 25948836 = 3996^2 + 5094^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41916851) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15952 + ... + 18392.

Almost surely, 241916852 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 41916852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55846098).

41916852 is an abundant number, since it is smaller than the sum of its proper divisors (69775344).

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

41916852 is a wasteful number, since it uses less digits than its factorization.

41916852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2499 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 41916852 is about 6474.3225128194. The cubic root of 41916852 is about 347.3731282964.

It can be divided in two parts, 419 and 16852, that added together give a palindrome (17271).

The spelling of 41916852 in words is "forty-one million, nine hundred sixteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2441 2862 4293 4882 5724 7323 8586 9764 14646 17172 21969 29292 43938 65907 87876 129373 131814 197721 258746 263628 388119 395442 517492 776238 790884 1164357 1552476 2328714 3493071 4657428 6986142 10479213 13972284 20958426 41916852