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2568055392 = 253273473671
BaseRepresentation
bin1001100100010001…
…0110101001100000
320121222020201201200
42121010112221200
520224410233032
61102454201200
7120432052650
oct23104265140
96558221650
102568055392
1110a8667031
125b8053200
1331c069b06
141a50c8360
151006c047c
hex99116a60

2568055392 has 144 divisors (see below), whose sum is σ = 8372512512. Its totient is φ = 731416320.

The previous prime is 2568055387. The next prime is 2568055397. The reversal of 2568055392 is 2935508652.

2568055392 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 0 + 553 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (2568055387) and next prime (2568055397).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568055397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697717 + ... + 701387.

It is an arithmetic number, because the mean of its divisors is an integer number (58142448).

Almost surely, 22568055392 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 2568055392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186256256).

2568055392 is an abundant number, since it is smaller than the sum of its proper divisors (5804457120).

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

2568055392 is a wasteful number, since it uses less digits than its factorization.

2568055392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 2568055392 is about 50675.9843712976. The cubic root of 2568055392 is about 1369.4141015029.

The spelling of 2568055392 in words is "two billion, five hundred sixty-eight million, fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 347 504 672 694 1008 1041 1388 2016 2082 2429 2776 3123 3671 4164 4858 5552 6246 7287 7342 8328 9716 11013 11104 12492 14574 14684 16656 19432 21861 22026 24984 25697 29148 29368 33039 33312 38864 43722 44052 49968 51394 58296 58736 66078 77091 77728 87444 88104 99936 102788 116592 117472 132156 154182 174888 176208 205576 231273 233184 264312 308364 349776 352416 411152 462546 528624 616728 699552 822304 925092 1057248 1233456 1273837 1850184 2466912 2547674 3700368 3821511 5095348 7400736 7643022 8916859 10190696 11464533 15286044 17833718 20381392 22929066 26750577 30572088 35667436 40762784 45858132 53501154 61144176 71334872 80251731 91716264 107002308 122288352 142669744 160503462 183432528 214004616 285339488 321006924 366865056 428009232 642013848 856018464 1284027696 2568055392