Search a number
-
+
41790823488 = 2632432277433
BaseRepresentation
bin100110111010111011…
…010101110001000000
310222212110210210111100
4212322323111301000
51141041422322423
631110510214400
73006421065351
oct467273256100
9128773723440
1041790823488
11167a5915257
1281237b4400
133c300ab82b
142046375d28
151148d2b343
hex9baed5c40

41790823488 has 168 divisors, whose sum is σ = 123128093088. Its totient is φ = 13544552448.

The previous prime is 41790823483. The next prime is 41790823499. The reversal of 41790823488 is 88432809714.

It is a happy number.

41790823488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×417908234882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41790823483) 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, 5618620 + ... + 5626052.

It is an arithmetic number, because the mean of its divisors is an integer number (732905316).

Almost surely, 241790823488 is an apocalyptic number.

41790823488 is a gapful number since it is divisible by the number (48) 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 41790823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61564046544).

41790823488 is an abundant number, since it is smaller than the sum of its proper divisors (81337269600).

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

41790823488 is a wasteful number, since it uses less digits than its factorization.

41790823488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7721 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 41790823488 in words is "forty-one billion, seven hundred ninety million, eight hundred twenty-three thousand, four hundred eighty-eight".