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99841950 = 23352135689
BaseRepresentation
bin1011111001101…
…11011110011110
320221212111102000
411330313132132
5201024420300
613523543130
72321433255
oct574673636
9227774360
1099841950
11513a380a
122952aaa6
13178b98a0
14d38d79c
158b72c00
hex5f3779e

99841950 has 96 divisors (see below), whose sum is σ = 296335200. Its totient is φ = 24572160.

The previous prime is 99841943. The next prime is 99841967. The reversal of 99841950 is 5914899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 99841896 and 99841905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14706 + ... + 20394.

It is an arithmetic number, because the mean of its divisors is an integer number (3086825).

Almost surely, 299841950 is an apocalyptic number.

99841950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99841950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148167600).

99841950 is an abundant number, since it is smaller than the sum of its proper divisors (196493250).

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

99841950 is a wasteful number, since it uses less digits than its factorization.

99841950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 99841950 is about 9992.0943750547. The cubic root of 99841950 is about 463.9142200475.

The spelling of 99841950 in words is "ninety-nine million, eight hundred forty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2925 3510 5689 5850 8775 11378 17067 17550 28445 34134 51201 56890 73957 85335 102402 142225 147914 153603 170670 221871 256005 284450 307206 369785 426675 443742 512010 665613 739570 768015 853350 1109355 1280025 1331226 1536030 1848925 1996839 2218710 2560050 3328065 3697850 3840075 3993678 5546775 6656130 7680150 9984195 11093550 16640325 19968390 33280650 49920975 99841950