Search a number
-
+
2900576256 = 21133197157
BaseRepresentation
bin1010110011100011…
…0100100000000000
321111010221112121020
42230320310200000
521420021420011
61155453225440
7131610330354
oct25470644000
97433845536
102900576256
111259332966
1268b492280
13372c13116
141d7325464
1511e9a5006
hexace34800

2900576256 has 192 divisors, whose sum is σ = 8116093440. Its totient is φ = 920125440.

The previous prime is 2900576251. The next prime is 2900576267. The reversal of 2900576256 is 6526750092.

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

It is not an unprimeable number, because it can be changed into a prime (2900576251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18474930 + ... + 18475086.

It is an arithmetic number, because the mean of its divisors is an integer number (42271320).

Almost surely, 22900576256 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 2900576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058046720).

2900576256 is an abundant number, since it is smaller than the sum of its proper divisors (5215517184).

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

2900576256 is a wasteful number, since it uses less digits than its factorization.

2900576256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 2900576256 is about 53856.9982082180. The cubic root of 2900576256 is about 1426.1375967395.

The spelling of 2900576256 in words is "two billion, nine hundred million, five hundred seventy-six thousand, two hundred fifty-six".