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42237 = 3213192
BaseRepresentation
bin1010010011111101
32010221100
422103331
52322422
6523313
7234066
oct122375
963840
1042237
1129808
1220539
13162c0
141156d
15c7ac
hexa4fd

42237 has 18 divisors (see below), whose sum is σ = 69342. Its totient is φ = 24624.

The previous prime is 42227. The next prime is 42239. The reversal of 42237 is 73224.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 12996 = 171^2 + 114^2 .

It is not a de Polignac number, because 42237 - 24 = 42221 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42239) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2214 + ... + 2232.

242237 is an apocalyptic number.

It is an amenable number.

42237 is a deficient number, since it is larger than the sum of its proper divisors (27105).

42237 is a wasteful number, since it uses less digits than its factorization.

42237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 42237 is about 205.5164227014. The cubic root of 42237 is about 34.8255262577.

The spelling of 42237 in words is "forty-two thousand, two hundred thirty-seven".

Divisors: 1 3 9 13 19 39 57 117 171 247 361 741 1083 2223 3249 4693 14079 42237