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2873928960 = 283257157227
BaseRepresentation
bin1010101101001100…
…1010110100000000
321102021210201101100
42223103022310000
521341211211320
61153102134400
7131134664430
oct25323126400
97367721340
102873928960
111245292401
12682581400
1336a5431a6
141d398a2c0
1511c48e790
hexab4cad00

2873928960 has 432 divisors, whose sum is σ = 11486756736. Its totient is φ = 649838592.

The previous prime is 2873928917. The next prime is 2873929001. The reversal of 2873928960 is 698293782.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2873928897 and 2873928906.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12660367 + ... + 12660593.

Almost surely, 22873928960 is an apocalyptic number.

2873928960 is a gapful number since it is divisible by the number (20) 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 2873928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743378368).

2873928960 is an abundant number, since it is smaller than the sum of its proper divisors (8612827776).

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

2873928960 is a wasteful number, since it uses less digits than its factorization.

2873928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2873928960 is about 53609.0380439717. The cubic root of 2873928960 is about 1421.7568943546.

The spelling of 2873928960 in words is "two billion, eight hundred seventy-three million, nine hundred twenty-eight thousand, nine hundred sixty".