Search a number
-
+
2992461696 = 273271919531
BaseRepresentation
bin1011001001011101…
…0101011110000000
321201112211210201200
42302113111132000
522112032233241
61212534501200
7134104335060
oct26227253600
97645753650
102992461696
1112a6191844
126b6204800
13388c752c3
142056033a0
15127aa54b6
hexb25d5780

2992461696 has 192 divisors, whose sum is σ = 10359772800. Its totient is φ = 809948160.

The previous prime is 2992461679. The next prime is 2992461697. The reversal of 2992461696 is 6961642992.

It is a happy number.

2992461696 is a `hidden beast` number, since 2 + 9 + 92 + 461 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992461697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143451 + ... + 162981.

It is an arithmetic number, because the mean of its divisors is an integer number (53957150).

Almost surely, 22992461696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179886400).

2992461696 is an abundant number, since it is smaller than the sum of its proper divisors (7367311104).

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

2992461696 is a wasteful number, since it uses less digits than its factorization.

2992461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19577 (or 19562 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 2992461696 is about 54703.3974813265. The cubic root of 2992461696 is about 1441.0405442178.

The spelling of 2992461696 in words is "two billion, nine hundred ninety-two million, four hundred sixty-one thousand, six hundred ninety-six".