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3987667408 = 241967195781
BaseRepresentation
bin1110110110101110…
…1111100111010000
3101021220111111022111
43231223233213100
531131320324113
61455405315104
7200550420334
oct35553574720
911256444274
103987667408
111766a305aa
12933565a94
134b71c421a
1429b8637c4
1518513b13d
hexedaef9d0

3987667408 has 40 divisors (see below), whose sum is σ = 8254169120. Its totient is φ = 1860693120.

The previous prime is 3987667363. The next prime is 3987667433. The reversal of 3987667408 is 8047667893.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77523 + ... + 118258.

It is an arithmetic number, because the mean of its divisors is an integer number (206354228).

Almost surely, 23987667408 is an apocalyptic number.

3987667408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3987667408 is an abundant number, since it is smaller than the sum of its proper divisors (4266501712).

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

3987667408 is a wasteful number, since it uses less digits than its factorization.

3987667408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195875 (or 195869 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The square root of 3987667408 is about 63147.9802369007. The cubic root of 3987667408 is about 1585.7679750177.

The spelling of 3987667408 in words is "three billion, nine hundred eighty-seven million, six hundred sixty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 536 1072 1273 2546 5092 10184 20368 195781 391562 783124 1566248 3132496 3719839 7439678 13117327 14879356 26234654 29758712 52469308 59517424 104938616 209877232 249229213 498458426 996916852 1993833704 3987667408