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94248 = 233271117
BaseRepresentation
bin10111000000101000
311210021200
4113000220
511003443
62004200
7541530
oct270050
9153250
1094248
11648a0
1246660
1333b8b
14264c0
151cdd3
hex17028

94248 has 96 divisors (see below), whose sum is σ = 336960. Its totient is φ = 23040.

The previous prime is 94229. The next prime is 94253. The reversal of 94248 is 84249.

It is a Cunningham number, because it is equal to 3072-1.

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

It is an unprimeable number.

94248 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 23 ways as a sum of consecutive naturals, for example, 5536 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

294248 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 94248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

94248 is an abundant number, since it is smaller than the sum of its proper divisors (242712).

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

94248 is a wasteful number, since it uses less digits than its factorization.

94248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 40 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 94248 is about 306.9983713312. The cubic root of 94248 is about 45.5083106826.

Subtracting from 94248 its reverse (84249), we obtain a palindrome (9999).

It can be divided in two parts, 942 and 48, that added together give a triangular number (990 = T44).

The spelling of 94248 in words is "ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 17 18 21 22 24 28 33 34 36 42 44 51 56 63 66 68 72 77 84 88 99 102 119 126 132 136 153 154 168 187 198 204 231 238 252 264 306 308 357 374 396 408 462 476 504 561 612 616 693 714 748 792 924 952 1071 1122 1224 1309 1386 1428 1496 1683 1848 2142 2244 2618 2772 2856 3366 3927 4284 4488 5236 5544 6732 7854 8568 10472 11781 13464 15708 23562 31416 47124 94248