Search a number
-
+
41919696 = 24327213457
BaseRepresentation
bin1001111111101…
…0010011010000
32220212202000100
42133322103100
541212412241
64054252400
71016211600
oct237722320
986782010
1041919696
1121731985
1212057100
1388b9570
1457d2c00
153a309b6
hex27fa4d0

41919696 has 180 divisors, whose sum is σ = 147290052. Its totient is φ = 11031552.

The previous prime is 41919679. The next prime is 41919697. The reversal of 41919696 is 69691914.

It can be written as a sum of positive squares in 2 ways, for example, as 21344400 + 20575296 = 4620^2 + 4536^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41919697) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91500 + ... + 91956.

Almost surely, 241919696 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 41919696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73645026).

41919696 is an abundant number, since it is smaller than the sum of its proper divisors (105370356).

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

41919696 is a wasteful number, since it uses less digits than its factorization.

41919696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 41919696 is about 6474.5421459745. The cubic root of 41919696 is about 347.3809843796.

The spelling of 41919696 in words is "forty-one million, nine hundred nineteen thousand, six hundred ninety-six".