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48488 = 23111929
BaseRepresentation
bin1011110101101000
32110111212
423311220
53022423
61012252
7261236
oct136550
973455
1048488
1133480
1224088
13190bb
1413956
15e578
hexbd68

48488 has 32 divisors (see below), whose sum is σ = 108000. Its totient is φ = 20160.

The previous prime is 48487. The next prime is 48491. The reversal of 48488 is 88484.

It is a super-2 number, since 2×484882 = 4702172288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48481) 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, 1658 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

248488 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 48488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000).

48488 is an abundant number, since it is smaller than the sum of its proper divisors (59512).

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

48488 is a wasteful number, since it uses less digits than its factorization.

48488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 48488 is about 220.1999091735. The cubic root of 48488 is about 36.4651572170.

The spelling of 48488 in words is "forty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 319 418 551 638 836 1102 1276 1672 2204 2552 4408 6061 12122 24244 48488