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394848 = 2533457
BaseRepresentation
bin1100000011001100000
3202001122000
41200121200
5100113343
612244000
73233106
oct1403140
9661560
10394848
1124a723
12170600
1310a94c
14a3c76
157bed3
hex60660

394848 has 48 divisors (see below), whose sum is σ = 1154160. Its totient is φ = 131328.

The previous prime is 394837. The next prime is 394861. The reversal of 394848 is 848493.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 394848.

It is an unprimeable number.

394848 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 7 ways as a sum of consecutive naturals, for example, 636 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (24045).

2394848 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 394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577080).

394848 is an abundant number, since it is smaller than the sum of its proper divisors (759312).

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

394848 is a wasteful number, since it uses less digits than its factorization.

394848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 394848 is about 628.3693181561. The cubic root of 394848 is about 73.3629265319.

The spelling of 394848 in words is "three hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 457 864 914 1371 1828 2742 3656 4113 5484 7312 8226 10968 12339 14624 16452 21936 24678 32904 43872 49356 65808 98712 131616 197424 394848