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990044928 = 2832431997
BaseRepresentation
bin111011000000101…
…110001100000000
32112222221111022200
4323000232030000
54011422414203
6242124033200
733351146235
oct7300561400
92488844280
10990044928
11468944454
12237692800
1312a162c02
14956b978c
155bdb69a3
hex3b02e300

990044928 has 108 divisors (see below), whose sum is σ = 2864036448. Its totient is φ = 328919040.

The previous prime is 990044921. The next prime is 990044933. The reversal of 990044928 is 829440099.

It is not an unprimeable number, because it can be changed into a prime (990044921) by changing a digit.

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, 992526 + ... + 993522.

It is an arithmetic number, because the mean of its divisors is an integer number (26518856).

Almost surely, 2990044928 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 990044928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432018224).

990044928 is an abundant number, since it is smaller than the sum of its proper divisors (1873991520).

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

990044928 is a wasteful number, since it uses less digits than its factorization.

990044928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 990044928 is about 31464.9793897914. The cubic root of 990044928 is about 996.6705698640.

The spelling of 990044928 in words is "nine hundred ninety million, forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 431 576 768 862 997 1152 1293 1724 1994 2304 2586 2991 3448 3879 3988 5172 5982 6896 7758 7976 8973 10344 11964 13792 15516 15952 17946 20688 23928 27584 31032 31904 35892 41376 47856 55168 62064 63808 71784 82752 95712 110336 124128 127616 143568 165504 191424 248256 255232 287136 331008 382848 429707 496512 574272 765696 859414 993024 1148544 1289121 1718828 2297088 2578242 3437656 3867363 5156484 6875312 7734726 10312968 13750624 15469452 20625936 27501248 30938904 41251872 55002496 61877808 82503744 110004992 123755616 165007488 247511232 330014976 495022464 990044928