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40495840 = 25571119173
BaseRepresentation
bin1001101001111…
…0101011100000
32211012101211221
42122132223200
540331331330
64003544424
71001131450
oct232365340
984171757
1040495840
112094a140
121168b114
13850b448
145541d60
15384db7a
hex269eae0

40495840 has 192 divisors, whose sum is σ = 126282240. Its totient is φ = 11888640.

The previous prime is 40495831. The next prime is 40495841. The reversal of 40495840 is 4859404.

40495840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40495796 and 40495805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40495841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233994 + ... + 234166.

It is an arithmetic number, because the mean of its divisors is an integer number (657720).

Almost surely, 240495840 is an apocalyptic number.

40495840 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 40495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

40495840 is an abundant number, since it is smaller than the sum of its proper divisors (85786400).

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

40495840 is a wasteful number, since it uses less digits than its factorization.

40495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 40495840 is about 6363.6341818178. The cubic root of 40495840 is about 343.4025143109.

It can be divided in two parts, 4049 and 5840, that added together give a palindrome (9889).

The spelling of 40495840 in words is "forty million, four hundred ninety-five thousand, eight hundred forty".