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20048 = 247179
BaseRepresentation
bin100111001010000
31000111112
410321100
51120143
6232452
7112310
oct47120
930445
1020048
1114076
12b728
139182
147440
155e18
hex4e50

20048 has 20 divisors (see below), whose sum is σ = 44640. Its totient is φ = 8544.

The previous prime is 20047. The next prime is 20051. The reversal of 20048 is 84002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

220048 is an apocalyptic number.

20048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

20048 is an abundant number, since it is smaller than the sum of its proper divisors (24592).

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

20048 is a wasteful number, since it uses less digits than its factorization.

20048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20048 is about 141.5909601634. The cubic root of 20048 is about 27.1658741577.

The spelling of 20048 in words is "twenty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 716 1253 1432 2506 2864 5012 10024 20048