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40531300 = 22521014013
BaseRepresentation
bin1001101010011…
…1010101100100
32211021012111021
42122213111210
540334000200
64004420524
71001340025
oct232472544
984235437
1040531300
1120973847
12116a7744
138521624
145550c4c
15385941a
hex26a7564

40531300 has 36 divisors (see below), whose sum is σ = 88845876. Its totient is φ = 16048000.

The previous prime is 40531259. The next prime is 40531319. The reversal of 40531300 is 313504.

40531300 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 6 ways, for example, as 4435236 + 36096064 = 2106^2 + 6008^2 .

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 11 ways as a sum of consecutive naturals, for example, 8094 + ... + 12106.

It is an arithmetic number, because the mean of its divisors is an integer number (2467941).

Almost surely, 240531300 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 40531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44422938).

40531300 is an abundant number, since it is smaller than the sum of its proper divisors (48314576).

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

40531300 is a wasteful number, since it uses less digits than its factorization.

40531300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 40531300 is about 6366.4197159785. The cubic root of 40531300 is about 343.5027180242.

Adding to 40531300 its reverse (313504), we get a palindrome (40844804).

The spelling of 40531300 in words is "forty million, five hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 4013 5050 8026 10100 16052 20065 40130 80260 100325 200650 401300 405313 810626 1621252 2026565 4053130 8106260 10132825 20265650 40531300