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398888 = 23717419
BaseRepresentation
bin1100001011000101000
3202021011122
41201120220
5100231023
612314412
73250640
oct1413050
9667148
10398888
11252766
12172a08
1310c739
14a5520
157d2c8
hex61628

398888 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 160512.

The previous prime is 398887. The next prime is 398903. The reversal of 398888 is 888893.

It is a super-2 number, since 2×3988882 = 318223273088, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (398887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 743 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2398888 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 398888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

398888 is an abundant number, since it is smaller than the sum of its proper divisors (508312).

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

398888 is a wasteful number, since it uses less digits than its factorization.

398888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its digits is 110592, while the sum is 44.

The square root of 398888 is about 631.5758070097. The cubic root of 398888 is about 73.6122892208.

The spelling of 398888 in words is "three hundred ninety-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 419 476 838 952 1676 2933 3352 5866 7123 11732 14246 23464 28492 49861 56984 99722 199444 398888