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28037 = 23253
BaseRepresentation
bin110110110000101
31102110102
412312011
51344122
6333445
7144512
oct66605
942412
1028037
111a079
1214285
13c9b9
14a309
158492
hex6d85

28037 has 6 divisors (see below), whose sum is σ = 29862. Its totient is φ = 26312.

The previous prime is 28031. The next prime is 28051. The reversal of 28037 is 73082.

It can be written as a sum of positive squares in only one way, i.e., 25921 + 2116 = 161^2 + 46^2 .

It is a de Polignac number, because none of the positive numbers 2k-28037 is a prime.

It is a Duffinian number.

28037 is a modest number, since divided by 37 gives 28 as remainder.

It is a plaindrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28037.

It is not an unprimeable number, because it can be changed into a prime (28031) 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, 503 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (4977).

228037 is an apocalyptic number.

It is an amenable number.

28037 is a deficient number, since it is larger than the sum of its proper divisors (1825).

28037 is an equidigital number, since it uses as much as digits as its factorization.

28037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 28037 is about 167.4425274535. The cubic root of 28037 is about 30.3792592829.

The spelling of 28037 in words is "twenty-eight thousand, thirty-seven".

Divisors: 1 23 53 529 1219 28037