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990472800 = 253523111327
BaseRepresentation
bin111011000010010…
…110101001100000
32120000202020020210
4323002112221200
54012030112200
6242141134120
733354610542
oct7302265140
92500666223
10990472800
11469106969
1223785a340
1312a2828a5
149578b692
155be4d650
hex3b096a60

990472800 has 144 divisors (see below), whose sum is σ = 3236792832. Its totient is φ = 263078400.

The previous prime is 990472753. The next prime is 990472801. The reversal of 990472800 is 8274099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990472801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 745737 + ... + 747063.

It is an arithmetic number, because the mean of its divisors is an integer number (22477728).

Almost surely, 2990472800 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 990472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618396416).

990472800 is an abundant number, since it is smaller than the sum of its proper divisors (2246320032).

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

990472800 is a wasteful number, since it uses less digits than its factorization.

990472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 990472800 is about 31471.7778334812. Note that the first 3 decimals coincide. The cubic root of 990472800 is about 996.8141276628.

The spelling of 990472800 in words is "nine hundred ninety million, four hundred seventy-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 311 400 480 600 622 800 933 1200 1244 1327 1555 1866 2400 2488 2654 3110 3732 3981 4665 4976 5308 6220 6635 7464 7775 7962 9330 9952 10616 12440 13270 14928 15550 15924 18660 19905 21232 23325 24880 26540 29856 31100 31848 33175 37320 39810 42464 46650 49760 53080 62200 63696 66350 74640 79620 93300 99525 106160 124400 127392 132700 149280 159240 186600 199050 212320 248800 265400 318480 373200 398100 412697 530800 636960 746400 796200 825394 1061600 1238091 1592400 1650788 2063485 2476182 3184800 3301576 4126970 4952364 6190455 6603152 8253940 9904728 10317425 12380910 13206304 16507880 19809456 20634850 24761820 30952275 33015760 39618912 41269700 49523640 61904550 66031520 82539400 99047280 123809100 165078800 198094560 247618200 330157600 495236400 990472800