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40216401 = 3214893001
BaseRepresentation
bin1001100101101…
…0011101010001
32210200012112100
42121122131101
540243411101
63553551013
7665555661
oct231323521
983605470
1040216401
11207791a5
1211575469
1384411b4
1454ac1a1
1537e5e86
hex265a751

40216401 has 12 divisors (see below), whose sum is σ = 58148740. Its totient is φ = 26784000.

The previous prime is 40216399. The next prime is 40216403. The reversal of 40216401 is 10461204.

40216401 is a `hidden beast` number, since 4 + 0 + 21 + 640 + 1 = 666.

40216401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40216399) and next prime (40216403).

It can be written as a sum of positive squares in 2 ways, for example, as 14814801 + 25401600 = 3849^2 + 5040^2 .

It is not a de Polignac number, because 40216401 - 21 = 40216399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40216403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11901 + ... + 14901.

Almost surely, 240216401 is an apocalyptic number.

It is an amenable number.

40216401 is a deficient number, since it is larger than the sum of its proper divisors (17932339).

40216401 is a wasteful number, since it uses less digits than its factorization.

40216401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40216401 is about 6341.6402452362. The cubic root of 40216401 is about 342.6108146584.

Adding to 40216401 its reverse (10461204), we get a palindrome (50677605).

The spelling of 40216401 in words is "forty million, two hundred sixteen thousand, four hundred one".

Divisors: 1 3 9 1489 3001 4467 9003 13401 27009 4468489 13405467 40216401