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70848 = 263341
BaseRepresentation
bin10001010011000000
310121012000
4101103000
54231343
61304000
7413361
oct212300
9117160
1070848
1149258
1235000
132632b
141bb68
1515ed3
hex114c0

70848 has 56 divisors (see below), whose sum is σ = 213360. Its totient is φ = 23040.

The previous prime is 70843. The next prime is 70849. The reversal of 70848 is 84807.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70848.

It is not an unprimeable number, because it can be changed into a prime (70841) by changing a digit.

70848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708 + ... + 1748.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

270848 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 70848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680).

70848 is an abundant number, since it is smaller than the sum of its proper divisors (142512).

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

70848 is a wasteful number, since it uses less digits than its factorization.

70848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

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

The square root of 70848 is about 266.1728761538. The cubic root of 70848 is about 41.3786068846.

The spelling of 70848 in words is "seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 11808 17712 23616 35424 70848