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2857051296 = 2532115411667
BaseRepresentation
bin1010101001001011…
…0010010010100000
321101010001020120200
42222102302102200
521322401120141
61151300305200
7130541351421
oct25222622240
97333036520
102857051296
111236804a20
126789a2200
13366bb3cc8
141d1635648
1511ac58ab6
hexaa4b24a0

2857051296 has 144 divisors (see below), whose sum is σ = 8885062368. Its totient is φ = 863654400.

The previous prime is 2857051277. The next prime is 2857051313. The reversal of 2857051296 is 6921507582.

2857051296 is a `hidden beast` number, since 2 + 8 + 570 + 51 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713055 + ... + 1714721.

It is an arithmetic number, because the mean of its divisors is an integer number (61701822).

Almost surely, 22857051296 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 2857051296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442531184).

2857051296 is an abundant number, since it is smaller than the sum of its proper divisors (6028011072).

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

2857051296 is a wasteful number, since it uses less digits than its factorization.

2857051296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2857051296 is about 53451.3918995567. The cubic root of 2857051296 is about 1418.9682540385.

The spelling of 2857051296 in words is "two billion, eight hundred fifty-seven million, fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 541 792 1056 1082 1584 1623 1667 2164 3168 3246 3334 4328 4869 5001 5951 6492 6668 8656 9738 10002 11902 12984 13336 15003 17312 17853 18337 19476 20004 23804 25968 26672 30006 35706 36674 38952 40008 47608 51936 53344 53559 55011 60012 71412 73348 77904 80016 95216 107118 110022 120024 142824 146696 155808 160032 165033 190432 214236 220044 240048 285648 293392 330066 428472 440088 480096 571296 586784 660132 856944 880176 901847 1320264 1713888 1760352 1803694 2640528 2705541 3607388 5281056 5411082 7214776 8116623 9920317 10822164 14429552 16233246 19840634 21644328 28859104 29760951 32466492 39681268 43288656 59521902 64932984 79362536 86577312 89282853 119043804 129865968 158725072 178565706 238087608 259731936 317450144 357131412 476175216 714262824 952350432 1428525648 2857051296