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2992527616 = 281322632
BaseRepresentation
bin1011001001011110…
…0101100100000000
321201112222011011011
42302113211210000
522112041340431
61212540130304
7134105031211
oct26227454400
97645864134
102992527616
1112a6227321
126b6236994
13388c99300
1420561d408
15127ab9cb1
hexb25e5900

2992527616 has 81 divisors (see below), whose sum is σ = 6492888129. Its totient is φ = 1375915008.

The previous prime is 2992527589. The next prime is 2992527623. The reversal of 2992527616 is 6167252992.

The square root of 2992527616 is 54704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 442681600 + 2549846016 = 21040^2 + 50496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2992527616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11378301 + ... + 11378563.

Almost surely, 22992527616 is an apocalyptic number.

2992527616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2992527616 is the 54704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992527616

2992527616 is an abundant number, since it is smaller than the sum of its proper divisors (3500360513).

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

2992527616 is an frugal number, since it uses more digits than its factorization.

2992527616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 278 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The cubic root of 2992527616 is about 1441.0511255501.

Multiplying 2992527616 by its sum of digits (49), we get a square (146633853184 = 3829282).

The spelling of 2992527616 in words is "two billion, nine hundred ninety-two million, five hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 263 338 416 526 676 832 1052 1352 1664 2104 2704 3328 3419 4208 5408 6838 8416 10816 13676 16832 21632 27352 33664 43264 44447 54704 67328 69169 88894 109408 138338 177788 218816 276676 355576 437632 553352 711152 875264 899197 1106704 1422304 1798394 2213408 2844608 3596788 4426816 5689216 7193576 8853632 11378432 11689561 14387152 17707264 23379122 28774304 46758244 57548608 93516488 115097216 187032976 230194432 374065952 748131904 1496263808 2992527616