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990042216 = 233471276911
BaseRepresentation
bin111011000000101…
…101100001101000
32112222221100121020
4323000231201220
54011422322331
6242124012440
733351135312
oct7300554150
92488840536
10990042216
11468942409
12237691120
1312a1618c7
14956b87b2
155bdb5c96
hex3b02d868

990042216 has 64 divisors (see below), whose sum is σ = 2548039680. Its totient is φ = 320402880.

The previous prime is 990042203. The next prime is 990042227. The reversal of 990042216 is 612240099.

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, 139801 + ... + 146711.

It is an arithmetic number, because the mean of its divisors is an integer number (39813120).

Almost surely, 2990042216 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 990042216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274019840).

990042216 is an abundant number, since it is smaller than the sum of its proper divisors (1557997464).

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

990042216 is a wasteful number, since it uses less digits than its factorization.

990042216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 990042216 is about 31464.9362942308. The cubic root of 990042216 is about 996.6696598134.

The spelling of 990042216 in words is "nine hundred ninety million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 127 141 188 254 282 376 381 508 564 762 1016 1128 1524 3048 5969 6911 11938 13822 17907 20733 23876 27644 35814 41466 47752 55288 71628 82932 143256 165864 324817 649634 877697 974451 1299268 1755394 1948902 2598536 2633091 3510788 3897804 5266182 7021576 7795608 10532364 21064728 41251759 82503518 123755277 165007036 247510554 330014072 495021108 990042216