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2887972704 = 25345771931
BaseRepresentation
bin1010110000100010…
…1111011101100000
321110021020012210000
42230020233131200
521403310111304
61154323140000
7131365235331
oct25410573540
97407205700
102887972704
111252204701
12687214600
1337041c4b6
141d57a4288
1511d815939
hexac22f760

2887972704 has 120 divisors (see below), whose sum is σ = 8512573608. Its totient is φ = 960491520.

The previous prime is 2887972691. The next prime is 2887972709. The reversal of 2887972704 is 4072797882.

2887972704 is a `hidden beast` number, since 288 + 7 + 97 + 270 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887972709) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1494619 + ... + 1496549.

Almost surely, 22887972704 is an apocalyptic number.

2887972704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2887972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256286804).

2887972704 is an abundant number, since it is smaller than the sum of its proper divisors (5624600904).

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

2887972704 is a wasteful number, since it uses less digits than its factorization.

2887972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 2887972704 is about 53739.8614065946. The cubic root of 2887972704 is about 1424.0689852116.

The spelling of 2887972704 in words is "two billion, eight hundred eighty-seven million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 577 648 864 1154 1296 1731 1931 2308 2592 3462 3862 4616 5193 5793 6924 7724 9232 10386 11586 13848 15448 15579 17379 18464 20772 23172 27696 30896 31158 34758 41544 46344 46737 52137 55392 61792 62316 69516 83088 92688 93474 104274 124632 139032 156411 166176 185376 186948 208548 249264 278064 312822 373896 417096 498528 556128 625644 747792 834192 1114187 1251288 1495584 1668384 2228374 2502576 3342561 4456748 5005152 6685122 8913496 10027683 13370244 17826992 20055366 26740488 30083049 35653984 40110732 53480976 60166098 80221464 90249147 106961952 120332196 160442928 180498294 240664392 320885856 360996588 481328784 721993176 962657568 1443986352 2887972704