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99984984 = 233111033677
BaseRepresentation
bin1011111010110…
…10011001011000
320222010202121120
411331122121120
5201044004414
613531005240
72322600261
oct575323130
9228122546
1099984984
1151491220
1229599820
1317939a18
14d3c9968
158ba02a9
hex5f5a658

99984984 has 64 divisors (see below), whose sum is σ = 275408640. Its totient is φ = 29996160.

The previous prime is 99984967. The next prime is 99984991. The reversal of 99984984 is 48948999.

It is a congruent number.

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, 25354 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (4303260).

Almost surely, 299984984 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 99984984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137704320).

99984984 is an abundant number, since it is smaller than the sum of its proper divisors (175423656).

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

99984984 is a wasteful number, since it uses less digits than its factorization.

99984984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3796 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 99984984 is about 9999.2491718129. The cubic root of 99984984 is about 464.1356494990.

The spelling of 99984984 in words is "ninety-nine million, nine hundred eighty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3399 3677 4532 6798 7354 9064 11031 13596 14708 22062 27192 29416 40447 44124 80894 88248 121341 161788 242682 323576 378731 485364 757462 970728 1136193 1514924 2272386 3029848 4166041 4544772 8332082 9089544 12498123 16664164 24996246 33328328 49992492 99984984