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203283968 = 292913691
BaseRepresentation
bin11000001110111…
…01111000000000
3112011111220011212
430013131320000
5404020041333
632101025252
75015612426
oct1407357000
9464456155
10203283968
11a4826288
12580b5228
1333166c94
141cdd9116
1512ca7448
hexc1dde00

203283968 has 40 divisors (see below), whose sum is σ = 420207480. Its totient is φ = 98129920.

The previous prime is 203283961. The next prime is 203283989. The reversal of 203283968 is 869382302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203283961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8003 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (10505187).

Almost surely, 2203283968 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 203283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210103740).

203283968 is an abundant number, since it is smaller than the sum of its proper divisors (216923512).

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

203283968 is an equidigital number, since it uses as much as digits as its factorization.

203283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13738 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 203283968 is about 14257.7686893847. The cubic root of 203283968 is about 587.9869804451.

The spelling of 203283968 in words is "two hundred three million, two hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 13691 14848 27382 54764 109528 219056 397039 438112 794078 876224 1588156 1752448 3176312 3504896 6352624 7009792 12705248 25410496 50820992 101641984 203283968