Search a number
-
+
40137625 = 531129191
BaseRepresentation
bin1001100100011…
…1001110011001
32210112012110201
42121013032121
540233401000
63552142201
7665110213
oct231071631
983465421
1040137625
1120724aa0
1211537961
138414398
14548b5b3
1537cc96a
hex2647399

40137625 has 16 divisors (see below), whose sum is σ = 54647424. Its totient is φ = 29190000.

The previous prime is 40137613. The next prime is 40137667. The reversal of 40137625 is 52673104.

40137625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40137625 - 25 = 40137593 is a prime.

It is a super-2 number, since 2×401376252 = 3222057881281250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40137593 and 40137602.

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 15 ways as a sum of consecutive naturals, for example, 13221 + ... + 15970.

It is an arithmetic number, because the mean of its divisors is an integer number (3415464).

Almost surely, 240137625 is an apocalyptic number.

It is an amenable number.

40137625 is a deficient number, since it is larger than the sum of its proper divisors (14509799).

40137625 is a wasteful number, since it uses less digits than its factorization.

40137625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29217 (or 29207 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 40137625 is about 6335.4261892946. The cubic root of 40137625 is about 342.3869660921.

The spelling of 40137625 in words is "forty million, one hundred thirty-seven thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 125 275 1375 29191 145955 321101 729775 1605505 3648875 8027525 40137625