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3986246448 = 2432139199153
BaseRepresentation
bin1110110110011001…
…0100101100110000
3101021210211022010100
43231212110230300
531130434341243
61455315032400
7200532351522
oct35546245460
911253738110
103986246448
11176614aa58
12932b9b700
134b6b17512
1429b5b3a12
15184e5a0d3
hexed994b30

3986246448 has 60 divisors (see below), whose sum is σ = 11236268680. Its totient is φ = 1319182848.

The previous prime is 3986246447. The next prime is 3986246461. The reversal of 3986246448 is 8446426893.

3986246448 is a `hidden beast` number, since 3 + 9 + 8 + 624 + 6 + 4 + 4 + 8 = 666.

3986246448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3986246394 and 3986246403.

It is not an unprimeable number, because it can be changed into a prime (3986246447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79561 + ... + 119592.

Almost surely, 23986246448 is an apocalyptic number.

It is an amenable number.

3986246448 is an abundant number, since it is smaller than the sum of its proper divisors (7250022232).

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

3986246448 is a wasteful number, since it uses less digits than its factorization.

3986246448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199306 (or 199297 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3986246448 is about 63136.7282015785. The cubic root of 3986246448 is about 1585.5795958366.

The spelling of 3986246448 in words is "three billion, nine hundred eighty-six million, two hundred forty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 199153 398306 597459 796612 1194918 1593224 1792377 2389836 3186448 3584754 4779672 7169508 9559344 14339016 27682267 28678032 55364534 83046801 110729068 166093602 221458136 249140403 332187204 442916272 498280806 664374408 996561612 1328748816 1993123224 3986246448