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37268 = 227113
BaseRepresentation
bin1001000110010100
31220010022
421012110
52143033
6444312
7213440
oct110624
956108
1037268
1126000
1219698
1313c6a
14d820
15b098
hex9194

37268 has 24 divisors (see below), whose sum is σ = 81984. Its totient is φ = 14520.

The previous prime is 37253. The next prime is 37273. The reversal of 37268 is 86273.

It is a d-powerful number, because it can be written as 37 + 72 + 211 + 63 + 85 .

It is a nialpdrome in base 14.

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 37268.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3383 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (3416).

237268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40992).

37268 is an abundant number, since it is smaller than the sum of its proper divisors (44716).

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

37268 is a wasteful number, since it uses less digits than its factorization.

37268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 20 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 37268 is about 193.0492165226. The cubic root of 37268 is about 33.4024786906.

The spelling of 37268 in words is "thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1331 1694 2662 3388 5324 9317 18634 37268