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200983482 = 232719372269
BaseRepresentation
bin10111111101011…
…00001110111010
3112000012000111200
423332230032322
5402422432412
631535435030
74660221450
oct1376541672
9460160450
10200983482
11a34a4957
1257385a76
133283cb4b
141c99a9d0
15129a09dc
hexbfac3ba

200983482 has 96 divisors (see below), whose sum is σ = 538262400. Its totient is φ = 52907904.

The previous prime is 200983459. The next prime is 200983483. The reversal of 200983482 is 284389002.

It is not an unprimeable number, because it can be changed into a prime (200983483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87444 + ... + 89712.

It is an arithmetic number, because the mean of its divisors is an integer number (5606900).

Almost surely, 2200983482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200983482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269131200).

200983482 is an abundant number, since it is smaller than the sum of its proper divisors (337278918).

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

200983482 is a wasteful number, since it uses less digits than its factorization.

200983482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 200983482 is about 14176.8643218449. The cubic root of 200983482 is about 585.7605536267.

It can be divided in two parts, 2009 and 83482, that added together give a triangular number (85491 = T413).

The spelling of 200983482 in words is "two hundred million, nine hundred eighty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 171 222 259 266 333 342 399 518 666 703 777 798 1197 1406 1554 2109 2269 2331 2394 4218 4538 4662 4921 6327 6807 9842 12654 13614 14763 15883 20421 29526 31766 40842 43111 44289 47649 83953 86222 88578 95298 129333 142947 167906 251859 258666 285894 301777 387999 503718 587671 603554 755577 775998 905331 1175342 1511154 1595107 1763013 1810662 2715993 3190214 3526026 4785321 5289039 5431986 9570642 10578078 11165749 14355963 22331498 28711926 33497247 66994494 100491741 200983482