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84200496 = 24361149193
BaseRepresentation
bin1010000010011…
…00110000110000
312212102211100220
411001030300300
5133023403441
612204413040
72041456332
oct501146060
9185384326
1084200496
1143590096
1224247180
13145a12a3
14b27b452
1575d3466
hex504cc30

84200496 has 80 divisors (see below), whose sum is σ = 223720800. Its totient is φ = 27279360.

The previous prime is 84200489. The next prime is 84200503. The reversal of 84200496 is 69400248.

It is an interprime number because it is at equal distance from previous prime (84200489) and next prime (84200503).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436176 + ... + 436368.

It is an arithmetic number, because the mean of its divisors is an integer number (2796510).

Almost surely, 284200496 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 84200496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111860400).

84200496 is an abundant number, since it is smaller than the sum of its proper divisors (139520304).

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

84200496 is a wasteful number, since it uses less digits than its factorization.

84200496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 84200496 is about 9176.0828243864. The cubic root of 84200496 is about 438.3000800127.

The spelling of 84200496 in words is "eighty-four million, two hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 149 183 193 244 298 366 386 447 488 579 596 732 772 894 976 1158 1192 1464 1544 1788 2316 2384 2928 3088 3576 4632 7152 9089 9264 11773 18178 23546 27267 28757 35319 36356 47092 54534 57514 70638 72712 86271 94184 109068 115028 141276 145424 172542 188368 218136 230056 282552 345084 436272 460112 565104 690168 1380336 1754177 3508354 5262531 7016708 10525062 14033416 21050124 28066832 42100248 84200496