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40942008 = 2332718009
BaseRepresentation
bin1001110000101…
…1100110111000
32212001001212200
42130023212320
540440121013
64021310200
71005000312
oct234134670
985031780
1040942008
1121124378
1211865360
138636553
14561a7b2
1538dae73
hex270b9b8

40942008 has 48 divisors (see below), whose sum is σ = 112460400. Its totient is φ = 13453440.

The previous prime is 40942003. The next prime is 40942021. The reversal of 40942008 is 80024904.

40942008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40942003) 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 11 ways as a sum of consecutive naturals, for example, 1108 + ... + 9116.

It is an arithmetic number, because the mean of its divisors is an integer number (2342925).

Almost surely, 240942008 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 40942008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56230200).

40942008 is an abundant number, since it is smaller than the sum of its proper divisors (71518392).

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

40942008 is a wasteful number, since it uses less digits than its factorization.

40942008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8085 counting only the distinct ones).

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

The square root of 40942008 is about 6398.5942206081. The cubic root of 40942008 is about 344.6590708922.

The spelling of 40942008 in words is "forty million, nine hundred forty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 8009 16018 24027 32036 48054 64072 72081 96108 144162 192216 288324 568639 576648 1137278 1705917 2274556 3411834 4549112 5117751 6823668 10235502 13647336 20471004 40942008