Search a number
-
+
3967989282 = 2369728057
BaseRepresentation
bin1110110010000010…
…1011011000100010
3101020112110202000000
43230200223120202
531111301124112
61453423440430
7200221231605
oct35440533042
911215422000
103967989282
111756910094
12928a56116
134b30c446a
14298dc033c
151835507dc
hexec82b622

3967989282 has 56 divisors (see below), whose sum is σ = 9016213836. Its totient is φ = 1308980736.

The previous prime is 3967989281. The next prime is 3967989287. The reversal of 3967989282 is 2829897693.

It can be written as a sum of positive squares in 2 ways, for example, as 3967866081 + 123201 = 62991^2 + 351^2 .

It is not an unprimeable number, because it can be changed into a prime (3967989281) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 127398 + ... + 155454.

Almost surely, 23967989282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967989282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508106918).

3967989282 is an abundant number, since it is smaller than the sum of its proper divisors (5048224554).

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

3967989282 is an equidigital number, since it uses as much as digits as its factorization.

3967989282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28174 (or 28159 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 3967989282 is about 62991.9779178270. The cubic root of 3967989282 is about 1583.1552184447.

The spelling of 3967989282 in words is "three billion, nine hundred sixty-seven million, nine hundred eighty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 729 873 1458 1746 2619 5238 7857 15714 23571 28057 47142 56114 70713 84171 141426 168342 252513 505026 757539 1515078 2272617 2721529 4545234 5443058 6817851 8164587 13635702 16329174 20453553 24493761 40907106 48987522 73481283 146962566 220443849 440887698 661331547 1322663094 1983994641 3967989282