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48372 = 22329139
BaseRepresentation
bin1011110011110100
32110100120
423303310
53021442
61011540
7261012
oct136364
973316
1048372
1133385
1223bb0
131902c
14138b2
15e4ec
hexbcf4

48372 has 24 divisors (see below), whose sum is σ = 117600. Its totient is φ = 15456.

The previous prime is 48371. The next prime is 48383. The reversal of 48372 is 27384.

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 48372.

It is not an unprimeable number, because it can be changed into a prime (48371) 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, 279 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

248372 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 48372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800).

48372 is an abundant number, since it is smaller than the sum of its proper divisors (69228).

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

48372 is a wasteful number, since it uses less digits than its factorization.

48372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 48372 is about 219.9363544301. The cubic root of 48372 is about 36.4360549244.

It can be divided in two parts, 483 and 72, that added together give a palindrome (555).

The spelling of 48372 in words is "forty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 139 174 278 348 417 556 834 1668 4031 8062 12093 16124 24186 48372