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40007201 = 132236729
BaseRepresentation
bin1001100010011…
…1011000100001
32210021120120012
42120213120201
540220212301
63545254305
7664025033
oct230473041
983246505
1040007201
1120646003
1211494395
138399c00
145455c53
1537a3ebb
hex2627621

40007201 has 6 divisors (see below), whose sum is σ = 43321590. Its totient is φ = 36929568.

The previous prime is 40007197. The next prime is 40007207. The reversal of 40007201 is 10270004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1752976 + 38254225 = 1324^2 + 6185^2 .

It is not a de Polignac number, because 40007201 - 22 = 40007197 is a prime.

It is a super-2 number, since 2×400072012 = 3201152263708802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40007207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118196 + ... + 118533.

It is an arithmetic number, because the mean of its divisors is an integer number (7220265).

Almost surely, 240007201 is an apocalyptic number.

It is an amenable number.

40007201 is a deficient number, since it is larger than the sum of its proper divisors (3314389).

40007201 is a wasteful number, since it uses less digits than its factorization.

40007201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236755 (or 236742 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 40007201 is about 6325.1245837533. The cubic root of 40007201 is about 342.0157106653.

Adding to 40007201 its reverse (10270004), we get a palindrome (50277205).

The spelling of 40007201 in words is "forty million, seven thousand, two hundred one".

Divisors: 1 13 169 236729 3077477 40007201