Search a number
-
+
200490784 = 25132131283
BaseRepresentation
bin10111111001100…
…11111100100000
3111222020222122121
423330303330200
5402311201114
631521114024
74653100144
oct1374637440
9458228577
10200490784
11a319876a
1257188914
13326c9800
141c8ad224
1512904a24
hexbf33f20

200490784 has 72 divisors (see below), whose sum is σ = 432199152. Its totient is φ = 91503360.

The previous prime is 200490781. The next prime is 200490803. The reversal of 200490784 is 487094002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200490781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708307 + ... + 708589.

It is an arithmetic number, because the mean of its divisors is an integer number (6002766).

Almost surely, 2200490784 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 200490784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216099576).

200490784 is an abundant number, since it is smaller than the sum of its proper divisors (231708368).

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

200490784 is a wasteful number, since it uses less digits than its factorization.

200490784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 200490784 is about 14159.4768264933. The cubic root of 200490784 is about 585.2815106018.

The spelling of 200490784 in words is "two hundred million, four hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 169 208 262 283 338 416 524 566 676 1048 1132 1352 1703 2096 2264 2704 3406 3679 4192 4528 5408 6812 7358 9056 13624 14716 22139 27248 29432 37073 44278 47827 54496 58864 74146 88556 95654 117728 148292 177112 191308 296584 354224 382616 481949 593168 708448 765232 963898 1186336 1530464 1927796 3855592 6265337 7711184 12530674 15422368 25061348 50122696 100245392 200490784