Search a number
-
+
2976802848 = 253210336121
BaseRepresentation
bin1011000101101110…
…0110100000100000
321200110101020211100
42301123212200200
522044030142343
61211215114400
7133524256335
oct26133464040
97613336740
102976802848
111298367048
126b0b12a00
13385951b06
142034c898c
151265109d3
hexb16e6820

2976802848 has 36 divisors (see below), whose sum is σ = 8465283918. Its totient is φ = 992267520.

The previous prime is 2976802841. The next prime is 2976802849. The reversal of 2976802848 is 8482086792.

It can be written as a sum of positive squares in only one way, i.e., 1636364304 + 1340438544 = 40452^2 + 36612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×29768028482 = 17722710391721822208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2976802794 and 2976802803.

It is not an unprimeable number, because it can be changed into a prime (2976802841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5167773 + ... + 5168348.

Almost surely, 22976802848 is an apocalyptic number.

It is an amenable number.

2976802848 is an abundant number, since it is smaller than the sum of its proper divisors (5488481070).

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

2976802848 is a wasteful number, since it uses less digits than its factorization.

2976802848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336137 (or 10336126 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2976802848 is about 54560.0847506673. The cubic root of 2976802848 is about 1438.5226051279.

The spelling of 2976802848 in words is "two billion, nine hundred seventy-six million, eight hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10336121 20672242 31008363 41344484 62016726 82688968 93025089 124033452 165377936 186050178 248066904 330755872 372100356 496133808 744200712 992267616 1488401424 2976802848