Search a number
-
+
40104001 = 72881929
BaseRepresentation
bin1001100011111…
…1000001000001
32210110111100101
42120333001001
540231312001
63551322401
7664610200
oct230770101
983414311
1040104001
1120701803
1211520401
138401ca2
14547d237
1537c2a01
hex263f041

40104001 has 12 divisors (see below), whose sum is σ = 46754820. Its totient is φ = 34298880.

The previous prime is 40103983. The next prime is 40104007. The reversal of 40104001 is 10040104.

It can be written as a sum of positive squares in 2 ways, for example, as 3186225 + 36917776 = 1785^2 + 6076^2 .

It is not a de Polignac number, because 40104001 - 211 = 40101953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40104007) 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 11 ways as a sum of consecutive naturals, for example, 42705 + ... + 43633.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 240104001 is an apocalyptic number.

It is an amenable number.

40104001 is a deficient number, since it is larger than the sum of its proper divisors (6650819).

40104001 is an equidigital number, since it uses as much as digits as its factorization.

40104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 40104001 is about 6332.7719838946. The cubic root of 40104001 is about 342.2913315051.

Adding to 40104001 its reverse (10040104), we get a palindrome (50144105).

The spelling of 40104001 in words is "forty million, one hundred four thousand, one".

Divisors: 1 7 49 881 929 6167 6503 43169 45521 818449 5729143 40104001