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4074057 = 34135373
BaseRepresentation
bin1111100010101001001001
321122222120000
433202221021
52020332212
6223153213
746425501
oct17425111
97588500
104074057
112332999
121445809
13ac84b0
14780a01
155571dc
hex3e2a49

4074057 has 40 divisors (see below), whose sum is σ = 6769224. Its totient is φ = 2426112.

The previous prime is 4074053. The next prime is 4074061. The reversal of 4074057 is 7504704.

4074057 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 (4074053) and next prime (4074061).

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 3606201 = 684^2 + 1899^2 .

It is not a de Polignac number, because 4074057 - 22 = 4074053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4074057.

It is not an unprimeable number, because it can be changed into a prime (4074053) 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 39 ways as a sum of consecutive naturals, for example, 55773 + ... + 55845.

Almost surely, 24074057 is an apocalyptic number.

It is an amenable number.

4074057 is a deficient number, since it is larger than the sum of its proper divisors (2695167).

4074057 is a wasteful number, since it uses less digits than its factorization.

4074057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4074057 is about 2018.4293398581. The cubic root of 4074057 is about 159.7137721195.

The spelling of 4074057 in words is "four million, seventy-four thousand, fifty-seven".

Divisors: 1 3 9 13 27 39 53 73 81 117 159 219 351 477 657 689 949 1053 1431 1971 2067 2847 3869 4293 5913 6201 8541 11607 18603 25623 34821 50297 55809 76869 104463 150891 313389 452673 1358019 4074057