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3825997578 = 23613972081
BaseRepresentation
bin1110010000001100…
…0001011100001010
3100212122021211000000
43210003001130022
530313423410303
61431352223430
7163545304614
oct34403013412
910778254000
103825997578
111693748677
128a939ab76
1348c86a6c0
142841bbdb4
15175d53da3
hexe40c170a

3825997578 has 112 divisors (see below), whose sum is σ = 9366476616. Its totient is φ = 1164533760.

The previous prime is 3825997507. The next prime is 3825997607. The reversal of 3825997578 is 8757995283.

3825997578 is a `hidden beast` number, since 3 + 8 + 2 + 59 + 9 + 7 + 578 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2333179809 + 1492817769 = 48303^2 + 38637^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1837498 + ... + 1839578.

Almost surely, 23825997578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825997578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683238308).

3825997578 is an abundant number, since it is smaller than the sum of its proper divisors (5540479038).

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

3825997578 is a wasteful number, since it uses less digits than its factorization.

3825997578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2196 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The square root of 3825997578 is about 61854.6487986150. The cubic root of 3825997578 is about 1564.0413483333.

The spelling of 3825997578 in words is "three billion, eight hundred twenty-five million, nine hundred ninety-seven thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 97 117 162 194 234 243 291 351 486 582 702 729 873 1053 1261 1458 1746 2081 2106 2522 2619 3159 3783 4162 5238 6243 6318 7566 7857 9477 11349 12486 15714 18729 18954 22698 23571 27053 34047 37458 47142 54106 56187 68094 70713 81159 102141 112374 141426 162318 168561 201857 204282 243477 306423 337122 403714 486954 505683 605571 612846 730431 919269 1011366 1211142 1460862 1517049 1816713 1838538 2191293 2624141 3034098 3633426 4382586 5248282 5450139 6573879 7872423 10900278 13147758 15744846 16350417 19721637 23617269 32700834 39443274 47234538 49051251 70851807 98102502 141703614 147153753 212555421 294307506 425110842 637666263 1275332526 1912998789 3825997578