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203389472 = 2511133263
BaseRepresentation
bin11000001111101…
…11101000100000
3112011201020220102
430013313220200
5404031430342
632103201532
75016532136
oct1407675040
9464636812
10203389472
11a4898580
12581462a8
13331a3000
141d025756
1512cc8832
hexc1f7a20

203389472 has 96 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 85013760.

The previous prime is 203389463. The next prime is 203389477. The reversal of 203389472 is 274983302.

It is a happy number.

203389472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203389477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773213 + ... + 773475.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2203389472 is an apocalyptic number.

203389472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203389472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

203389472 is an abundant number, since it is smaller than the sum of its proper divisors (271620448).

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

203389472 is a wasteful number, since it uses less digits than its factorization.

203389472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 203389472 is about 14261.4680871220. The cubic root of 203389472 is about 588.0886842342.

The spelling of 203389472 in words is "two hundred three million, three hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 263 286 338 352 416 526 572 676 1052 1144 1352 1859 2104 2197 2288 2704 2893 3419 3718 4208 4394 4576 5408 5786 6838 7436 8416 8788 11572 13676 14872 17576 23144 24167 27352 29744 35152 37609 44447 46288 48334 54704 59488 70304 75218 88894 92576 96668 109408 150436 177788 193336 300872 355576 386672 488917 577811 601744 711152 773344 977834 1155622 1203488 1422304 1955668 2311244 3911336 4622488 6355921 7822672 9244976 12711842 15645344 18489952 25423684 50847368 101694736 203389472