Search a number
-
+
41852160 = 283357173
BaseRepresentation
bin1001111110100…
…1110100000000
32220202022101000
42133221310000
541203232120
64053012000
71015510650
oct237516400
986668330
1041852160
1121696169
1212024000
1388948bc
1457b6360
153a1a990
hex27e9d00

41852160 has 288 divisors, whose sum is σ = 170714880. Its totient is φ = 9510912.

The previous prime is 41852131. The next prime is 41852171. The reversal of 41852160 is 6125814.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241834 + ... + 242006.

It is an arithmetic number, because the mean of its divisors is an integer number (592760).

Almost surely, 241852160 is an apocalyptic number.

41852160 is a gapful number since it is divisible by the number (40) 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 41852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85357440).

41852160 is an abundant number, since it is smaller than the sum of its proper divisors (128862720).

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

41852160 is a wasteful number, since it uses less digits than its factorization.

41852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 41852160 is about 6469.3245397027. The cubic root of 41852160 is about 347.1943312092.

Adding to 41852160 its reverse (6125814), we get a palindrome (47977974).

The spelling of 41852160 in words is "forty-one million, eight hundred fifty-two thousand, one hundred sixty".