Search a number
-
+
41018880 = 293572109
BaseRepresentation
bin1001110001111…
…0011000000000
32212011222022210
42130132120000
541000101010
64023102120
71005440400
oct234363000
985158283
1041018880
1121177101
12118a1940
138662536
14563a800
153903b20
hex271e600

41018880 has 240 divisors, whose sum is σ = 153941040. Its totient is φ = 9289728.

The previous prime is 41018839. The next prime is 41018881. The reversal of 41018880 is 8881014.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41018881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376266 + ... + 376374.

It is an arithmetic number, because the mean of its divisors is an integer number (641421).

Almost surely, 241018880 is an apocalyptic number.

41018880 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 41018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76970520).

41018880 is an abundant number, since it is smaller than the sum of its proper divisors (112922160).

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

41018880 is a wasteful number, since it uses less digits than its factorization.

41018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 41018880 is about 6404.5983480621. The cubic root of 41018880 is about 344.8746446489.

Adding to 41018880 its reverse (8881014), we get a palindrome (49899894).

The spelling of 41018880 in words is "forty-one million, eighteen thousand, eight hundred eighty".