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40418900 = 2252404189
BaseRepresentation
bin1001101000101…
…1111001010100
32211001111022022
42122023321110
540321401100
64002152312
71000361234
oct232137124
984044268
1040418900
11208a7355
1211652698
1384b2412
145521cc4
153835e85
hex268be54

40418900 has 18 divisors (see below), whose sum is σ = 87709230. Its totient is φ = 16167520.

The previous prime is 40418899. The next prime is 40418923. The reversal of 40418900 is 981404.

40418900 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 3 ways, for example, as 20164 + 40398736 = 142^2 + 6356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40418900.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 201995 + ... + 202194.

It is an arithmetic number, because the mean of its divisors is an integer number (4872735).

Almost surely, 240418900 is an apocalyptic number.

It is an amenable number.

40418900 is an abundant number, since it is smaller than the sum of its proper divisors (47290330).

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

40418900 is a wasteful number, since it uses less digits than its factorization.

40418900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404203 (or 404196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 40418900 is about 6357.5860198663. The cubic root of 40418900 is about 343.1848940959.

The spelling of 40418900 in words is "forty million, four hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 404189 808378 1616756 2020945 4041890 8083780 10104725 20209450 40418900