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994281984 = 29321271699
BaseRepresentation
bin111011010000111…
…000101000000000
32120021220202110200
4323100320220000
54014014010414
6242354525200
733432154203
oct7320705000
92507822420
10994281984
11470278853
12238b96800
1312acb7647
149609d93a
155c452109
hex3b438a00

994281984 has 120 divisors (see below), whose sum is σ = 2893862400. Its totient is φ = 328624128.

The previous prime is 994281979. The next prime is 994281997. The reversal of 994281984 is 489182499.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 994281984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584367 + ... + 586065.

It is an arithmetic number, because the mean of its divisors is an integer number (24115520).

Almost surely, 2994281984 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 994281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446931200).

994281984 is an abundant number, since it is smaller than the sum of its proper divisors (1899580416).

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

994281984 is a wasteful number, since it uses less digits than its factorization.

994281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1831 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 994281984 is about 31532.2372184404. The cubic root of 994281984 is about 998.0903502258.

The spelling of 994281984 in words is "nine hundred ninety-four million, two hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1143 1152 1524 1536 1699 2032 2286 2304 3048 3398 4064 4572 4608 5097 6096 6796 8128 9144 10194 12192 13592 15291 16256 18288 20388 24384 27184 30582 32512 36576 40776 48768 54368 61164 65024 73152 81552 97536 108736 122328 146304 163104 195072 215773 217472 244656 292608 326208 431546 434944 489312 585216 647319 652416 863092 869888 978624 1294638 1304832 1726184 1941957 1957248 2589276 2609664 3452368 3883914 3914496 5178552 6904736 7767828 7828992 10357104 13809472 15535656 20714208 27618944 31071312 41428416 55237888 62142624 82856832 110475776 124285248 165713664 248570496 331427328 497140992 994281984