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2939748672 = 26373835711
BaseRepresentation
bin1010111100111001…
…0000000101000000
321120212122201001110
42233032100011000
522010033424142
61203413003320
7132564310560
oct25716200500
97525581043
102939748672
111279458763
126a0623540
1337b07a073
141dc600da0
1512314199c
hexaf390140

2939748672 has 112 divisors (see below), whose sum is σ = 8914010112. Its totient is φ = 837588480.

The previous prime is 2939748653. The next prime is 2939748673. The reversal of 2939748672 is 2768479392.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2939748673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511897 + ... + 517607.

It is an arithmetic number, because the mean of its divisors is an integer number (79589376).

Almost surely, 22939748672 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 2939748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457005056).

2939748672 is an abundant number, since it is smaller than the sum of its proper divisors (5974261440).

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

2939748672 is a wasteful number, since it uses less digits than its factorization.

2939748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116 (or 6106 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 2939748672 is about 54219.4492041371. The cubic root of 2939748672 is about 1432.5289287519.

The spelling of 2939748672 in words is "two billion, nine hundred thirty-nine million, seven hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 383 448 672 766 1149 1344 1532 2298 2681 3064 4596 5362 5711 6128 8043 9192 10724 11422 12256 16086 17133 18384 21448 22844 24512 32172 34266 36768 39977 42896 45688 64344 68532 73536 79954 85792 91376 119931 128688 137064 159908 171584 182752 239862 257376 274128 319816 365504 479724 514752 548256 639632 959448 1096512 1279264 1918896 2187313 2558528 3837792 4374626 6561939 7675584 8749252 13123878 15311191 17498504 26247756 30622382 34997008 45933573 52495512 61244764 69994016 91867146 104991024 122489528 139988032 183734292 209982048 244979056 367468584 419964096 489958112 734937168 979916224 1469874336 2939748672