Search a number
-
+
3900681696 = 253243716673
BaseRepresentation
bin1110100001111111…
…1010110111100000
3101001211211011100110
43220133322313200
530442033303241
61443021051320
7165443150562
oct35037726740
911054734313
103900681696
11172191898a
1290a3b6b40
134a21892a2
1429009d332
1517c6a7816
hexe87fade0

3900681696 has 48 divisors (see below), whose sum is σ = 10244105424. Its totient is φ = 1299615744.

The previous prime is 3900681677. The next prime is 3900681721. The reversal of 3900681696 is 6961860093.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×39006816963 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 225616 + ... + 242288.

It is an arithmetic number, because the mean of its divisors is an integer number (213418863).

Almost surely, 23900681696 is an apocalyptic number.

It is an amenable number.

3900681696 is an abundant number, since it is smaller than the sum of its proper divisors (6343423728).

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

3900681696 is a wasteful number, since it uses less digits than its factorization.

3900681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19115 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 3900681696 is about 62455.4376815982. The cubic root of 3900681696 is about 1574.1526233423.

The spelling of 3900681696 in words is "three billion, nine hundred million, six hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2437 4874 7311 9748 14622 16673 19496 29244 33346 38992 50019 58488 66692 77984 100038 116976 133384 200076 233952 266768 400152 533536 800304 1600608 40632101 81264202 121896303 162528404 243792606 325056808 487585212 650113616 975170424 1300227232 1950340848 3900681696