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4142052 = 2232115057
BaseRepresentation
bin1111110011001111100100
321210102211100
433303033210
52030021202
6224440100
750130645
oct17631744
97712740
104142052
112379a92
121479030
13b20425
1479b6cc
1556c41c
hex3f33e4

4142052 has 18 divisors (see below), whose sum is σ = 10470278. Its totient is φ = 1380672.

The previous prime is 4142029. The next prime is 4142053. The reversal of 4142052 is 2502414.

It can be written as a sum of positive squares in only one way, i.e., 2643876 + 1498176 = 1626^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4142053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57493 + ... + 57564.

Almost surely, 24142052 is an apocalyptic number.

It is an amenable number.

4142052 is an abundant number, since it is smaller than the sum of its proper divisors (6328226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4142052 is a wasteful number, since it uses less digits than its factorization.

4142052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115067 (or 115062 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4142052 is about 2035.2031839598. The cubic root of 4142052 is about 160.5974020827.

Adding to 4142052 its reverse (2502414), we get a palindrome (6644466).

The spelling of 4142052 in words is "four million, one hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 115057 230114 345171 460228 690342 1035513 1380684 2071026 4142052