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48272 = 247431
BaseRepresentation
bin1011110010010000
32110012212
423302100
53021042
61011252
7260510
oct136220
973185
1048272
11332a4
1223b28
1318c83
1413840
15e482
hexbc90

48272 has 20 divisors (see below), whose sum is σ = 107136. Its totient is φ = 20640.

The previous prime is 48271. The next prime is 48281. The reversal of 48272 is 27284.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 327.

248272 is an apocalyptic number.

It is an amenable number.

48272 is an abundant number, since it is smaller than the sum of its proper divisors (58864).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

48272 is a wasteful number, since it uses less digits than its factorization.

48272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 48272 is about 219.7088983178. The cubic root of 48272 is about 36.4109293751.

The spelling of 48272 in words is "forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 431 862 1724 3017 3448 6034 6896 12068 24136 48272