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40204125 = 3253132749
BaseRepresentation
bin1001100101011…
…1011101011101
32210122120200200
42121113131131
540243013000
63553414113
7665505123
oct231273535
983576620
1040204125
112076aa55
121156a339
138438730
1454a7913
1537e2500
hex265775d

40204125 has 48 divisors (see below), whose sum is σ = 78078000. Its totient is φ = 19785600.

The previous prime is 40204123. The next prime is 40204139. The reversal of 40204125 is 52140204.

It can be written as a sum of positive squares in 8 ways, for example, as 29095236 + 11108889 = 5394^2 + 3333^2 .

It is not a de Polignac number, because 40204125 - 21 = 40204123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40204098 and 40204107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40204123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13251 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (1626625).

Almost surely, 240204125 is an apocalyptic number.

40204125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40204125 is a deficient number, since it is larger than the sum of its proper divisors (37873875).

40204125 is a wasteful number, since it uses less digits than its factorization.

40204125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40204125 is about 6340.6722829681. The cubic root of 40204125 is about 342.5759506205.

Adding to 40204125 its reverse (52140204), we get a palindrome (92344329).

The spelling of 40204125 in words is "forty million, two hundred four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2749 2925 4875 8247 13745 14625 24741 35737 41235 68725 107211 123705 178685 206175 321633 343625 536055 618525 893425 1030875 1608165 2680275 3092625 4467125 8040825 13401375 40204125