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48037 = 112397
BaseRepresentation
bin1011101110100101
32102220011
423232211
53014122
61010221
7260023
oct135645
972804
1048037
1133100
1223971
1318b32
1413713
15e377
hexbba5

48037 has 6 divisors (see below), whose sum is σ = 52934. Its totient is φ = 43560.

The previous prime is 48029. The next prime is 48049. The reversal of 48037 is 73084.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 4356 = 209^2 + 66^2 .

It is not a de Polignac number, because 48037 - 23 = 48029 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47999 and 48017.

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 48037.

It is not an unprimeable number, because it can be changed into a prime (48017) 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, 78 + ... + 319.

248037 is an apocalyptic number.

It is an amenable number.

48037 is a deficient number, since it is larger than the sum of its proper divisors (4897).

48037 is a wasteful number, since it uses less digits than its factorization.

48037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 48037 is about 219.1734472969. The cubic root of 48037 is about 36.3517474392.

Adding to 48037 its reverse (73084), we get a palindrome (121121).

The spelling of 48037 in words is "forty-eight thousand, thirty-seven".

Divisors: 1 11 121 397 4367 48037