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41243904 = 28361317
BaseRepresentation
bin1001110101010…
…1010100000000
32212121102000000
42131111110000
541024301104
64032000000
71010365422
oct235252400
985542000
1041243904
1121310179
1211990000
138710aa0
145698812
15394a639
hex2755500

41243904 has 252 divisors, whose sum is σ = 140747796. Its totient is φ = 11943936.

The previous prime is 41243903. The next prime is 41243947. The reversal of 41243904 is 40934214.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 22581504 = 4320^2 + 4752^2 .

It is a super-2 number, since 2×412439042 = 3402119234322432, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41243903) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2426104 + ... + 2426120.

It is an arithmetic number, because the mean of its divisors is an integer number (558523).

Almost surely, 241243904 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 41243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70373898).

41243904 is an abundant number, since it is smaller than the sum of its proper divisors (99503892).

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

41243904 is an equidigital number, since it uses as much as digits as its factorization.

41243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

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

The square root of 41243904 is about 6422.1416988416. The cubic root of 41243904 is about 345.5041400802.

The spelling of 41243904 in words is "forty-one million, two hundred forty-three thousand, nine hundred four".