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99802368 = 28344813
BaseRepresentation
bin1011111001011…
…01110100000000
320221210111010000
411330231310000
5201022133433
613523040000
72321210001
oct574556400
9227714100
1099802368
1151376aa6
1229510000
13178a4873
14d37d1a8
158b66113
hex5f2dd00

99802368 has 90 divisors (see below), whose sum is σ = 297654434. Its totient is φ = 33260544.

The previous prime is 99802331. The next prime is 99802379. The reversal of 99802368 is 86320899.

It can be written as a sum of positive squares in only one way, i.e., 93083904 + 6718464 = 9648^2 + 2592^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18330 + ... + 23142.

Almost surely, 299802368 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 99802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148827217).

99802368 is an abundant number, since it is smaller than the sum of its proper divisors (197852066).

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

99802368 is an equidigital number, since it uses as much as digits as its factorization.

99802368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99802368 is about 9990.1135128686. The cubic root of 99802368 is about 463.8529062083.

The spelling of 99802368 in words is "ninety-nine million, eight hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4813 5184 6912 9626 10368 14439 19252 20736 28878 38504 43317 57756 77008 86634 115512 129951 154016 173268 231024 259902 308032 346536 389853 462048 519804 616064 693072 779706 924096 1039608 1232128 1386144 1559412 1848192 2079216 2772288 3118824 3696384 4158432 5544576 6237648 8316864 11089152 12475296 16633728 24950592 33267456 49901184 99802368