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3667993 = 7274857
BaseRepresentation
bin1101111111100000011001
320220100112121
431333200121
51414333433
6210341241
743114600
oct15774031
96810477
103667993
1120858aa
12128a821
139b5714
146b6a37
154c6c2d
hex37f819

3667993 has 6 divisors (see below), whose sum is σ = 4266906. Its totient is φ = 3143952.

The previous prime is 3667987. The next prime is 3667997. The reversal of 3667993 is 3997663.

It is a happy number.

3667993 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in only one way, i.e., 2350089 + 1317904 = 1533^2 + 1148^2 .

It is not a de Polignac number, because 3667993 - 213 = 3659801 is a prime.

It is an Ulam number.

3667993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3667997) 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 5 ways as a sum of consecutive naturals, for example, 37380 + ... + 37477.

It is an arithmetic number, because the mean of its divisors is an integer number (711151).

Almost surely, 23667993 is an apocalyptic number.

It is an amenable number.

3667993 is a deficient number, since it is larger than the sum of its proper divisors (598913).

3667993 is an equidigital number, since it uses as much as digits as its factorization.

3667993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74871 (or 74864 counting only the distinct ones).

The product of its digits is 183708, while the sum is 43.

The square root of 3667993 is about 1915.2005116958. The cubic root of 3667993 is about 154.2207577744.

The spelling of 3667993 in words is "three million, six hundred sixty-seven thousand, nine hundred ninety-three".

Divisors: 1 7 49 74857 523999 3667993