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40545000 = 2332541753
BaseRepresentation
bin1001101010101…
…0101011101000
32211021220021200
42122222223220
540334420000
64005004200
71001424666
oct232525350
984256250
1040545000
1120983071
12116b3660
138527932
145555c36
15385d500
hex26aaae8

40545000 has 240 divisors, whose sum is σ = 148030740. Its totient is φ = 9984000.

The previous prime is 40544989. The next prime is 40545019. The reversal of 40545000 is 54504.

It is a happy number.

40545000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 19044 + 40525956 = 138^2 + 6366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 764974 + ... + 765026.

Almost surely, 240545000 is an apocalyptic number.

40545000 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 40545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74015370).

40545000 is an abundant number, since it is smaller than the sum of its proper divisors (107485740).

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

40545000 is a wasteful number, since it uses less digits than its factorization.

40545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40545000 is about 6367.4955830373. The cubic root of 40545000 is about 343.5414161589.

Adding to 40545000 its reverse (54504), we get a palindrome (40599504).

The spelling of 40545000 in words is "forty million, five hundred forty-five thousand".