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2572152688 = 247289191193
BaseRepresentation
bin1001100101001111…
…1110111101110000
320122020221220011101
42121103332331300
520231432341223
61103122054144
7120511636300
oct23123767560
96566856141
102572152688
1110aaa05426
125b94aa354
1331cb72a51
141a5873600
15100c2e4ad
hex994fef70

2572152688 has 120 divisors (see below), whose sum is σ = 5923549440. Its totient is φ = 1078640640.

The previous prime is 2572152673. The next prime is 2572152689. The reversal of 2572152688 is 8862512752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572152689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13327120 + ... + 13327312.

It is an arithmetic number, because the mean of its divisors is an integer number (49362912).

Almost surely, 22572152688 is an apocalyptic number.

2572152688 is a gapful number since it is divisible by the number (28) 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 2572152688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961774720).

2572152688 is an abundant number, since it is smaller than the sum of its proper divisors (3351396752).

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

2572152688 is a wasteful number, since it uses less digits than its factorization.

2572152688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The square root of 2572152688 is about 50716.3946668136. The cubic root of 2572152688 is about 1370.1420081186.

The spelling of 2572152688 in words is "two billion, five hundred seventy-two million, one hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 191 193 196 356 382 386 392 623 712 764 772 784 1246 1337 1351 1424 1528 1544 2492 2674 2702 3056 3088 4361 4984 5348 5404 8722 9359 9457 9968 10696 10808 16999 17177 17444 18718 18914 21392 21616 33998 34354 34888 36863 37436 37828 67996 68708 69776 73726 74872 75656 118993 120239 135992 137416 147452 149744 151312 237986 240478 258041 271984 274832 294904 475972 480956 516082 589808 832951 841673 951944 961912 1032164 1665902 1683346 1806287 1903888 1923824 2064328 3280807 3331804 3366692 3612574 4128656 6561614 6663608 6733384 7225148 13123228 13327216 13466768 14450296 22965649 26246456 28900592 45931298 52492912 91862596 160759543 183725192 321519086 367450384 643038172 1286076344 2572152688