Search a number
-
+
2931395896 = 2311132639743
BaseRepresentation
bin1010111010111001…
…1000110100111000
321120021221100012101
42232232120310320
522000414132041
61202513553144
7132433311502
oct25656306470
97507840171
102931395896
111274773140
126998757b4
133794141b0
141db468d72
15122541b31
hexaeb98d38

2931395896 has 64 divisors (see below), whose sum is σ = 6482488320. Its totient is φ = 1225153920.

The previous prime is 2931395851. The next prime is 2931395903. The reversal of 2931395896 is 6985931392.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296001 + ... + 305743.

It is an arithmetic number, because the mean of its divisors is an integer number (101288880).

Almost surely, 22931395896 is an apocalyptic number.

2931395896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2931395896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241244160).

2931395896 is an abundant number, since it is smaller than the sum of its proper divisors (3551092424).

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

2931395896 is a wasteful number, since it uses less digits than its factorization.

2931395896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 10032 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

The square root of 2931395896 is about 54142.3669227713. The cubic root of 2931395896 is about 1431.1708825128.

The spelling of 2931395896 in words is "two billion, nine hundred thirty-one million, three hundred ninety-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 263 286 526 572 1052 1144 2104 2893 3419 5786 6838 9743 11572 13676 19486 23144 27352 37609 38972 75218 77944 107173 126659 150436 214346 253318 300872 428692 506636 857384 1013272 1393249 2562409 2786498 5124818 5572996 10249636 11145992 20499272 28186499 33311317 56372998 66622634 112745996 133245268 225491992 266490536 366424487 732848974 1465697948 2931395896