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40909000 = 2353113719
BaseRepresentation
bin1001110000001…
…1100011001000
32211222101121011
42130003203020
540433042000
64020453304
71004502136
oct234034310
984871534
1040909000
11211015a0
121184a234
138624512
14560c756
1538d12ba
hex27038c8

40909000 has 64 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 14872000.

The previous prime is 40908997. The next prime is 40909009. The reversal of 40909000 is 90904.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (40909009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9141 + ... + 12859.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 240909000 is an apocalyptic number.

40909000 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 40909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

40909000 is an abundant number, since it is smaller than the sum of its proper divisors (63548600).

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

40909000 is a wasteful number, since it uses less digits than its factorization.

40909000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 40909000 is about 6396.0143839738. The cubic root of 40909000 is about 344.5664230566.

Adding to 40909000 its reverse (90904), we get a palindrome (40999904).

The spelling of 40909000 in words is "forty million, nine hundred nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3719 5500 7438 11000 14876 18595 29752 37190 40909 74380 81818 92975 148760 163636 185950 204545 327272 371900 409090 464875 743800 818180 929750 1022725 1636360 1859500 2045450 3719000 4090900 5113625 8181800 10227250 20454500 40909000