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399933 = 32371201
BaseRepresentation
bin1100001101000111101
3202022121100
41201220331
5100244213
612323313
73253662
oct1415075
9668540
10399933
11253526
12173539
13110061
14a5a69
157d773
hex61a3d

399933 has 12 divisors (see below), whose sum is σ = 593788. Its totient is φ = 259200.

The previous prime is 399913. The next prime is 399937. The reversal of 399933 is 339993.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 257049 = 378^2 + 507^2 .

It is not a de Polignac number, because 399933 - 28 = 399677 is a prime.

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

It is a Duffinian number.

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 399933.

It is not an unprimeable number, because it can be changed into a prime (399937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268 + ... + 933.

2399933 is an apocalyptic number.

It is an amenable number.

399933 is a deficient number, since it is larger than the sum of its proper divisors (193855).

399933 is a wasteful number, since it uses less digits than its factorization.

399933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1241 counting only the distinct ones).

The product of its digits is 19683, while the sum is 36.

The square root of 399933 is about 632.4025616646. The cubic root of 399933 is about 73.6765159079.

The spelling of 399933 in words is "three hundred ninety-nine thousand, nine hundred thirty-three".

Divisors: 1 3 9 37 111 333 1201 3603 10809 44437 133311 399933