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48708 = 22331141
BaseRepresentation
bin1011111001000100
32110211000
423321010
53024313
61013300
7262002
oct137104
973730
1048708
1133660
1224230
131922a
1413a72
15e673
hexbe44

48708 has 48 divisors (see below), whose sum is σ = 141120. Its totient is φ = 14400.

The previous prime is 48679. The next prime is 48731. The reversal of 48708 is 80784.

It is a happy number.

48708 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

48708 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

248708 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 48708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

48708 is an abundant number, since it is smaller than the sum of its proper divisors (92412).

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

48708 is a wasteful number, since it uses less digits than its factorization.

48708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 48708 is about 220.6988898930. The cubic root of 48708 is about 36.5202239833.

The spelling of 48708 in words is "forty-eight thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 16236 24354 48708