Search a number
-
+
3984075513 = 321140243187
BaseRepresentation
bin1110110101111000…
…0010101011111001
3101021122202000011100
43231132002223321
531124410404023
61455200322013
7200505040335
oct35536025371
911248660140
103984075513
1117649a79a0
12932313309
134b6537342
1429b1aa7c5
15184b7bc43
hexed782af9

3984075513 has 12 divisors (see below), whose sum is σ = 6277937328. Its totient is φ = 2414591160.

The previous prime is 3984075499. The next prime is 3984075533. The reversal of 3984075513 is 3155704893.

3984075513 is a `hidden beast` number, since 3 + 98 + 4 + 0 + 7 + 551 + 3 = 666.

It is not a de Polignac number, because 3984075513 - 26 = 3984075449 is a prime.

It is a super-3 number, since 3×39840755133 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3984075533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20121495 + ... + 20121692.

It is an arithmetic number, because the mean of its divisors is an integer number (523161444).

Almost surely, 23984075513 is an apocalyptic number.

3984075513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3984075513 is a deficient number, since it is larger than the sum of its proper divisors (2293861815).

3984075513 is a wasteful number, since it uses less digits than its factorization.

3984075513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40243204 (or 40243201 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3984075513 is about 63119.5335296452. The cubic root of 3984075513 is about 1585.2917046794.

The spelling of 3984075513 in words is "three billion, nine hundred eighty-four million, seventy-five thousand, five hundred thirteen".

Divisors: 1 3 9 11 33 99 40243187 120729561 362188683 442675057 1328025171 3984075513