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99450 = 232521317
BaseRepresentation
bin11000010001111010
312001102100
4120101322
511140300
62044230
7562641
oct302172
9161370
1099450
116879a
1249676
1336360
1428358
151e700
hex1847a

99450 has 72 divisors (see below), whose sum is σ = 304668. Its totient is φ = 23040.

The previous prime is 99439. The next prime is 99469. The reversal of 99450 is 5499.

99450 = T34 + T35 + ... + T85.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31329 + 68121 = 177^2 + 261^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5842 + ... + 5858.

299450 is an apocalyptic number.

99450 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 99450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334).

99450 is an abundant number, since it is smaller than the sum of its proper divisors (205218).

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

99450 is a wasteful number, since it uses less digits than its factorization.

99450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 99450 is about 315.3569406244. The cubic root of 99450 is about 46.3306360534.

The spelling of 99450 in words is "ninety-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1275 1326 1530 1950 1989 2210 2550 2925 3315 3825 3978 5525 5850 6630 7650 9945 11050 16575 19890 33150 49725 99450