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99048000 = 263534127
BaseRepresentation
bin1011110011101…
…01101001000000
320220101011022110
411321311221000
5200324014000
613454535320
72311615452
oct571655100
9226334273
1099048000
1150a01257
1229207540
131769c3ac
14d2242d2
158a67850
hex5e75a40

99048000 has 112 divisors (see below), whose sum is σ = 327135744. Its totient is φ = 26406400.

The previous prime is 99047989. The next prime is 99048017. The reversal of 99048000 is 84099.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21937 + ... + 26063.

Almost surely, 299048000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163567872).

99048000 is an abundant number, since it is smaller than the sum of its proper divisors (228087744).

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

99048000 is a wasteful number, since it uses less digits than its factorization.

99048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 99048000 is about 9952.2861695190. The cubic root of 99048000 is about 462.6812535254.

The spelling of 99048000 in words is "ninety-nine million, forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4127 4800 6000 8000 8254 12000 12381 16508 20635 24000 24762 33016 41270 49524 61905 66032 82540 99048 103175 123810 132064 165080 198096 206350 247620 264128 309525 330160 396192 412700 495240 515875 619050 660320 792384 825400 990480 1031750 1238100 1320640 1547625 1650800 1980960 2063500 2476200 3095250 3301600 3961920 4127000 4952400 6190500 6603200 8254000 9904800 12381000 16508000 19809600 24762000 33016000 49524000 99048000