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99985296 = 24317196449
BaseRepresentation
bin1011111010110…
…10011110010000
320222010210001010
411331122132100
5201044012141
613531010520
72322601215
oct575323620
9228123033
1099985296
1151491484
1229599a40
1317939bc8
14d3c9b0c
158ba0416
hex5f5a790

99985296 has 80 divisors (see below), whose sum is σ = 287928000. Its totient is φ = 29712384.

The previous prime is 99985273. The next prime is 99985297. The reversal of 99985296 is 69258999.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (99985297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12280 + ... + 18728.

It is an arithmetic number, because the mean of its divisors is an integer number (3599100).

Almost surely, 299985296 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 99985296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143964000).

99985296 is an abundant number, since it is smaller than the sum of its proper divisors (187942704).

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

99985296 is a wasteful number, since it uses less digits than its factorization.

99985296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6490 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 57.

The square root of 99985296 is about 9999.2647729721. The cubic root of 99985296 is about 464.1361322721.

The spelling of 99985296 in words is "ninety-nine million, nine hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 6449 7752 12898 15504 19347 25796 38694 51592 77388 103184 109633 122531 154776 219266 245062 309552 328899 367593 438532 490124 657798 735186 877064 980248 1315596 1470372 1754128 1960496 2083027 2631192 2940744 4166054 5262384 5881488 6249081 8332108 12498162 16664216 24996324 33328432 49992648 99985296