Search a number
-
+
4072997 = 31375367
BaseRepresentation
bin1111100010011000100101
321122221002202
433202120211
52020313442
6223144245
746422425
oct17423045
97587082
104072997
112332115
121445085
13ac7b76
14780485
15556c32
hex3e2625

4072997 has 16 divisors (see below), whose sum is σ = 4465152. Its totient is φ = 3706560.

The previous prime is 4072987. The next prime is 4073009. The reversal of 4072997 is 7992704.

It is a happy number.

4072997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4072997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4072997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072927) 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 15 ways as a sum of consecutive naturals, for example, 60758 + ... + 60824.

It is an arithmetic number, because the mean of its divisors is an integer number (279072).

Almost surely, 24072997 is an apocalyptic number.

It is an amenable number.

4072997 is a deficient number, since it is larger than the sum of its proper divisors (392155).

4072997 is a wasteful number, since it uses less digits than its factorization.

4072997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 4072997 is about 2018.1667423679. The cubic root of 4072997 is about 159.6999193201.

It can be divided in two parts, 40 and 72997, that added together give a palindrome (73037).

The spelling of 4072997 in words is "four million, seventy-two thousand, nine hundred ninety-seven".

Divisors: 1 31 37 53 67 1147 1643 1961 2077 2479 3551 60791 76849 110081 131387 4072997