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40982040 = 233251179131
BaseRepresentation
bin1001110001010…
…1011000011000
32212010002210100
42130111120120
540442411130
64022215400
71005225111
oct234253030
985102710
1040982040
1121151460
1211884560
13864b838
14562b208
1538e7c60
hex2715618

40982040 has 192 divisors, whose sum is σ = 148262400. Its totient is φ = 9734400.

The previous prime is 40982033. The next prime is 40982041. The reversal of 40982040 is 4028904.

It is a junction number, because it is equal to n+sod(n) for n = 40981995 and 40982013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40982041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312775 + ... + 312905.

It is an arithmetic number, because the mean of its divisors is an integer number (772200).

Almost surely, 240982040 is an apocalyptic number.

40982040 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 40982040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

40982040 is an abundant number, since it is smaller than the sum of its proper divisors (107280360).

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

40982040 is a wasteful number, since it uses less digits than its factorization.

40982040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40982040 is about 6401.7216434331. The cubic root of 40982040 is about 344.7713671061.

The spelling of 40982040 in words is "forty million, nine hundred eighty-two thousand, forty".