Search a number
-
+
42004213 = 374127689
BaseRepresentation
bin1010000000111…
…0111011110101
32221001000221121
42200032323311
541223113323
64100143541
71020013156
oct240167365
987030847
1042004213
112178a429
1212097bb1
138918b84
14581592d
153a4aa5d
hex280eef5

42004213 has 8 divisors (see below), whose sum is σ = 44193240. Its totient is φ = 39870720.

The previous prime is 42004211. The next prime is 42004219. The reversal of 42004213 is 31240024.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 41692849 = 558^2 + 6457^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42004213 - 21 = 42004211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12328 + ... + 15361.

It is an arithmetic number, because the mean of its divisors is an integer number (5524155).

Almost surely, 242004213 is an apocalyptic number.

It is an amenable number.

42004213 is a deficient number, since it is larger than the sum of its proper divisors (2189027).

42004213 is a wasteful number, since it uses less digits than its factorization.

42004213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27767.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42004213 is about 6481.0657302638. The cubic root of 42004213 is about 347.6142867193.

Adding to 42004213 its reverse (31240024), we get a palindrome (73244237).

The spelling of 42004213 in words is "forty-two million, four thousand, two hundred thirteen".

Divisors: 1 37 41 1517 27689 1024493 1135249 42004213