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399008 = 2537337
BaseRepresentation
bin1100001011010100000
3202021100002
41201122200
5100232013
612315132
73251201
oct1413240
9667302
10399008
11252865
12172aa8
1310c7cc
14a55a8
157d358
hex616a0

399008 has 24 divisors (see below), whose sum is σ = 809172. Its totient is φ = 193536.

The previous prime is 398989. The next prime is 399023. The reversal of 399008 is 800993.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 4624 = 628^2 + 68^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1016 + ... + 1352.

2399008 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 399008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404586).

399008 is an abundant number, since it is smaller than the sum of its proper divisors (410164).

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

399008 is a wasteful number, since it uses less digits than its factorization.

399008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 399008 is about 631.6708003383. The cubic root of 399008 is about 73.6196702308.

The spelling of 399008 in words is "three hundred ninety-nine thousand, eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 337 592 674 1184 1348 2696 5392 10784 12469 24938 49876 99752 199504 399008