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3985225893 = 331123583403
BaseRepresentation
bin1110110110001001…
…1011100010100101
3101021201220110012000
43231202123202211
531130204212033
61455241115513
7200520601245
oct35542334245
911251813160
103985225893
111765613220
12932788b99
134b684ab3c
1429b3c9b25
15184d07a13
hexed89b8a5

3985225893 has 32 divisors (see below), whose sum is σ = 6720814080. Its totient is φ = 2310271920.

The previous prime is 3985225883. The next prime is 3985225903.

3985225893 is a `hidden beast` number, since 3 + 9 + 8 + 52 + 2 + 589 + 3 = 666.

3985225893 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3985225883) and next prime (3985225903).

It is not a de Polignac number, because 3985225893 - 214 = 3985209509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985225823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284871 + ... + 298532.

It is an arithmetic number, because the mean of its divisors is an integer number (210025440).

Almost surely, 23985225893 is an apocalyptic number.

3985225893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3985225893 is a deficient number, since it is larger than the sum of its proper divisors (2735588187).

3985225893 is a wasteful number, since it uses less digits than its factorization.

3985225893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583446 (or 583440 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 3985225893 is about 63128.6455818593. The cubic root of 3985225893 is about 1585.4442714306. Note that the first 3 decimals are identical.

The spelling of 3985225893 in words is "three billion, nine hundred eighty-five million, two hundred twenty-five thousand, eight hundred ninety-three".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2277 6831 583403 1750209 5250627 6417433 13418269 15751881 19252299 40254807 57756897 120764421 147600959 173270691 362293263 442802877 1328408631 3985225893