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99436950 = 23352731009
BaseRepresentation
bin1011110110101…
…00100110010110
320221002220212000
411323110212112
5200423440300
613511140130
72315125434
oct573244626
9227086760
1099436950
11511474a8
1229374646
13177a7442
14d2c5d54
158ae2c00
hex5ed4996

99436950 has 96 divisors (see below), whose sum is σ = 278032800. Its totient is φ = 26127360.

The previous prime is 99436943. The next prime is 99436979. The reversal of 99436950 is 5963499.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 99436896 and 99436905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98046 + ... + 99054.

It is an arithmetic number, because the mean of its divisors is an integer number (2896175).

Almost surely, 299436950 is an apocalyptic number.

99436950 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 99436950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139016400).

99436950 is an abundant number, since it is smaller than the sum of its proper divisors (178595850).

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

99436950 is a wasteful number, since it uses less digits than its factorization.

99436950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 99436950 is about 9971.8077598799. The cubic root of 99436950 is about 463.2860943621.

The spelling of 99436950 in words is "ninety-nine million, four hundred thirty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 73 75 90 135 146 150 219 225 270 365 438 450 657 675 730 1009 1095 1314 1350 1825 1971 2018 2190 3027 3285 3650 3942 5045 5475 6054 6570 9081 9855 10090 10950 15135 16425 18162 19710 25225 27243 30270 32850 45405 49275 50450 54486 73657 75675 90810 98550 136215 147314 151350 220971 227025 272430 368285 441942 454050 662913 681075 736570 1104855 1325826 1362150 1841425 1988739 2209710 3314565 3682850 3977478 5524275 6629130 9943695 11048550 16572825 19887390 33145650 49718475 99436950