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2575327216 = 247112307619
BaseRepresentation
bin1001100110000000…
…0101111111110000
320122110221011210111
42121200011333300
520233240432331
61103314111104
7120550630420
oct23140057760
96573834714
102575327216
111101783500
125ba57b494
13320714977
141a605c480
15101159db1
hex99805ff0

2575327216 has 120 divisors (see below), whose sum is σ = 6298624640. Its totient is φ = 998490240.

The previous prime is 2575327213. The next prime is 2575327217. The reversal of 2575327216 is 6127235752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575327213) 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, 4160155 + ... + 4160773.

Almost surely, 22575327216 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 2575327216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149312320).

2575327216 is an abundant number, since it is smaller than the sum of its proper divisors (3723297424).

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

2575327216 is a wasteful number, since it uses less digits than its factorization.

2575327216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 946 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 2575327216 is about 50747.6818780917. The cubic root of 2575327216 is about 1370.7054487497.

The spelling of 2575327216 in words is "two billion, five hundred seventy-five million, three hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 307 308 484 614 616 619 847 968 1228 1232 1238 1694 1936 2149 2456 2476 3377 3388 4298 4333 4912 4952 6754 6776 6809 8596 8666 9904 13508 13552 13618 17192 17332 23639 27016 27236 34384 34664 37147 47278 47663 54032 54472 69328 74294 74899 94556 95326 108944 148588 149798 189112 190033 190652 260029 297176 299596 378224 380066 381304 520058 524293 594352 599192 760132 762608 1040116 1048586 1198384 1330231 1520264 2080232 2090363 2097172 2660462 3040528 4160464 4180726 4194344 5320924 8361452 8388688 10641848 14632541 16722904 21283696 22993993 29265082 33445808 45987986 58530164 91975972 117060328 160957951 183951944 234120656 321915902 367903888 643831804 1287663608 2575327216