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2989506048 = 29318110753
BaseRepresentation
bin1011001000110000…
…0011111000000000
321201100021122100020
42302030003320000
522110303143143
61212351253440
7134040245034
oct26214037000
97640248306
102989506048
1112a4553161
126b521a280
1338847bbb9
142050741c4
151276be883
hexb2303e00

2989506048 has 80 divisors (see below), whose sum is σ = 8008976976. Its totient is φ = 990904320.

The previous prime is 2989506041. The next prime is 2989506059. The reversal of 2989506048 is 8406059892.

It is a super-2 number, since 2×29895060482 = 17874292822057156608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989506041) 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 7 ways as a sum of consecutive naturals, for example, 272640 + ... + 283392.

Almost surely, 22989506048 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 2989506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004488488).

2989506048 is an abundant number, since it is smaller than the sum of its proper divisors (5019470928).

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

2989506048 is a wasteful number, since it uses less digits than its factorization.

2989506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 2989506048 is about 54676.3755931207. The cubic root of 2989506048 is about 1440.5659503799.

The spelling of 2989506048 in words is "two billion, nine hundred eighty-nine million, five hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1086 1448 1536 2172 2896 4344 5792 8688 10753 11584 17376 21506 23168 32259 34752 43012 46336 64518 69504 86024 92672 129036 139008 172048 258072 278016 344096 516144 688192 1032288 1376384 1946293 2064576 2752768 3892586 4129152 5505536 5838879 7785172 8258304 11677758 15570344 16516608 23355516 31140688 46711032 62281376 93422064 124562752 186844128 249125504 373688256 498251008 747376512 996502016 1494753024 2989506048