Search a number
-
+
41412096 = 2932111943
BaseRepresentation
bin1001110111111…
…0011000000000
32212220221201100
42131332120000
541100141341
64035334400
71011665655
oct235763000
985827640
1041412096
1121415580
1211a51400
13876c4cb
1456ddc2c
1539803b6
hex277e600

41412096 has 240 divisors, whose sum is σ = 140437440. Its totient is φ = 11612160.

The previous prime is 41412089. The next prime is 41412149. The reversal of 41412096 is 69021414.

It is a super-2 number, since 2×414120962 = 3429923390226432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963051 + ... + 963093.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 241412096 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 41412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218720).

41412096 is an abundant number, since it is smaller than the sum of its proper divisors (99025344).

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

41412096 is a wasteful number, since it uses less digits than its factorization.

41412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41412096 is about 6435.2230730566. The cubic root of 41412096 is about 345.9731566153.

The spelling of 41412096 in words is "forty-one million, four hundred twelve thousand, ninety-six".