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99506250 = 232552961
BaseRepresentation
bin1011110111001…
…01100001001010
320221020102220200
411323211201022
5200433200000
613512433030
72315534454
oct573454112
9227212820
1099506250
1151194578
12293a8776
13177ccb4c
14d3032d4
158b08500
hex5ee584a

99506250 has 144 divisors (see below), whose sum is σ = 283341240. Its totient is φ = 25200000.

The previous prime is 99506233. The next prime is 99506261. The reversal of 99506250 is 5260599.

It can be written as a sum of positive squares in 12 ways, for example, as 73770921 + 25735329 = 8589^2 + 5073^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1631220 + ... + 1631280.

Almost surely, 299506250 is an apocalyptic number.

99506250 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 99506250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141670620).

99506250 is an abundant number, since it is smaller than the sum of its proper divisors (183834990).

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

99506250 is a wasteful number, since it uses less digits than its factorization.

99506250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 99506250 is about 9975.2819509024. The cubic root of 99506250 is about 463.3936944404.

The spelling of 99506250 in words is "ninety-nine million, five hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 61 75 87 90 122 125 145 150 174 183 225 250 261 290 305 366 375 435 450 522 549 610 625 725 750 870 915 1098 1125 1250 1305 1450 1525 1769 1830 1875 2175 2250 2610 2745 3050 3125 3538 3625 3750 4350 4575 5307 5490 5625 6250 6525 7250 7625 8845 9150 9375 10614 10875 11250 13050 13725 15250 15921 17690 18125 18750 21750 22875 26535 27450 28125 31842 32625 36250 38125 44225 45750 53070 54375 56250 65250 68625 76250 79605 88450 90625 108750 114375 132675 137250 159210 163125 181250 190625 221125 228750 265350 271875 326250 343125 381250 398025 442250 543750 571875 663375 686250 796050 815625 1105625 1143750 1326750 1631250 1715625 1990125 2211250 3316875 3431250 3980250 5528125 6633750 9950625 11056250 16584375 19901250 33168750 49753125 99506250