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399648 = 25323181
BaseRepresentation
bin1100001100100100000
3202022012210
41201210200
5100242043
612322120
73253104
oct1414440
9668183
10399648
11253297
12173340
1310cba2
14a5904
157d633
hex61920

399648 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 126720.

The previous prime is 399647. The next prime is 399667. The reversal of 399648 is 846993.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (399643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118 + ... + 2298.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2399648 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 399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

399648 is an abundant number, since it is smaller than the sum of its proper divisors (701088).

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

399648 is a wasteful number, since it uses less digits than its factorization.

399648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 399648 is about 632.1771903509. The cubic root of 399648 is about 73.6590106451.

The spelling of 399648 in words is "three hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 181 184 276 362 368 543 552 724 736 1086 1104 1448 2172 2208 2896 4163 4344 5792 8326 8688 12489 16652 17376 24978 33304 49956 66608 99912 133216 199824 399648