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69048 = 23327137
BaseRepresentation
bin10000110110111000
310111201100
4100312320
54202143
61251400
7405210
oct206670
9114640
1069048
1147971
1233b60
1325575
141b240
15156d3
hex10db8

69048 has 48 divisors (see below), whose sum is σ = 215280. Its totient is φ = 19584.

The previous prime is 69031. The next prime is 69061. The reversal of 69048 is 84096.

It is a congruent number.

It is an unprimeable number.

69048 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 11 ways as a sum of consecutive naturals, for example, 436 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (4485).

269048 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 69048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107640).

69048 is an abundant number, since it is smaller than the sum of its proper divisors (146232).

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

69048 is a wasteful number, since it uses less digits than its factorization.

69048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 69048 is about 262.7698612855. The cubic root of 69048 is about 41.0251679700.

The spelling of 69048 in words is "sixty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 137 168 252 274 411 504 548 822 959 1096 1233 1644 1918 2466 2877 3288 3836 4932 5754 7672 8631 9864 11508 17262 23016 34524 69048