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99928950 = 23521171853
BaseRepresentation
bin1011111010011…
…00101101110110
320222000220202020
411331030231312
5201040211300
613525454010
72322245022
oct575145566
9228026666
1099928950
1151453110
1229571306
131791a374
14d3b3382
158b8d8a0
hex5f4cb76

99928950 has 96 divisors (see below), whose sum is σ = 274482432. Its totient is φ = 23856000.

The previous prime is 99928937. The next prime is 99928957. The reversal of 99928950 is 5982999.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 99928893 and 99928902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99928957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116724 + ... + 117576.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192).

Almost surely, 299928950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99928950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137241216).

99928950 is an abundant number, since it is smaller than the sum of its proper divisors (174553482).

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

99928950 is a wasteful number, since it uses less digits than its factorization.

99928950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The square root of 99928950 is about 9996.4468687629. The cubic root of 99928950 is about 464.0489290208.

The spelling of 99928950 in words is "ninety-nine million, nine hundred twenty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 71 75 110 142 150 165 213 275 330 355 426 550 710 781 825 853 1065 1562 1650 1706 1775 2130 2343 2559 3550 3905 4265 4686 5118 5325 7810 8530 9383 10650 11715 12795 18766 19525 21325 23430 25590 28149 39050 42650 46915 56298 58575 60563 63975 93830 117150 121126 127950 140745 181689 234575 281490 302815 363378 469150 605630 666193 703725 908445 1332386 1407450 1514075 1816890 1998579 3028150 3330965 3997158 4542225 6661930 9084450 9992895 16654825 19985790 33309650 49964475 99928950