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203424832 = 26131391759
BaseRepresentation
bin11000010000000…
…00010001000000
3112011210001102001
430020000101000
5404034043312
632104033344
75020040212
oct1410002100
9464701361
10203424832
11a49120a6
1258162854
13331b6130
141d0345b2
1512cd4057
hexc200440

203424832 has 56 divisors (see below), whose sum is σ = 438099200. Its totient is φ = 93159936.

The previous prime is 203424817. The next prime is 203424841. The reversal of 203424832 is 238424302.

It is a self number, because there is not a number n which added to its sum of digits gives 203424832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114769 + ... + 116527.

It is an arithmetic number, because the mean of its divisors is an integer number (7823200).

Almost surely, 2203424832 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 203424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219049600).

203424832 is an abundant number, since it is smaller than the sum of its proper divisors (234674368).

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

203424832 is a wasteful number, since it uses less digits than its factorization.

203424832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 203424832 is about 14262.7077373127. The cubic root of 203424832 is about 588.1227627122.

The spelling of 203424832 in words is "two hundred three million, four hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 139 208 278 416 556 832 1112 1759 1807 2224 3518 3614 4448 7036 7228 8896 14072 14456 22867 28144 28912 45734 56288 57824 91468 112576 115648 182936 244501 365872 489002 731744 978004 1463488 1956008 3178513 3912016 6357026 7824032 12714052 15648064 25428104 50856208 101712416 203424832