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2981029472 = 25196417649
BaseRepresentation
bin1011000110101110…
…1110011001100000
321200202022222122222
42301223232121200
522101120420342
61211445450212
7133605222011
oct26153563140
97622288588
102981029472
11129a793623
126b2410968
133867a1885
14203ca9008
15126a97ed2
hexb1aee660

2981029472 has 48 divisors (see below), whose sum is σ = 6188238000. Its totient is φ = 1409679360.

The previous prime is 2981029463. The next prime is 2981029477. The reversal of 2981029472 is 2749201892.

2981029472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981029477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385904 + ... + 393552.

It is an arithmetic number, because the mean of its divisors is an integer number (128921625).

Almost surely, 22981029472 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 2981029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094119000).

2981029472 is an abundant number, since it is smaller than the sum of its proper divisors (3207208528).

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

2981029472 is a wasteful number, since it uses less digits than its factorization.

2981029472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 2981029472 is about 54598.8046755604. The cubic root of 2981029472 is about 1439.2031136165.

The spelling of 2981029472 in words is "two billion, nine hundred eighty-one million, twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 641 1282 2564 5128 7649 10256 12179 15298 20512 24358 30596 48716 61192 97432 122384 145331 194864 244768 290662 389728 581324 1162648 2325296 4650592 4903009 9806018 19612036 39224072 78448144 93157171 156896288 186314342 372628684 745257368 1490514736 2981029472