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2048314950 = 23252111929751
BaseRepresentation
bin111101000010110…
…1100111001000110
312021202021011212200
41322011230321012
513143332034300
6535130255330
7101521250463
oct17205547106
95252234780
102048314950
11961247380
12491b87546
132684927a6
1415607466a
15bec58200
hex7a16ce46

2048314950 has 288 divisors, whose sum is σ = 6546009600. Its totient is φ = 453600000.

The previous prime is 2048314909. The next prime is 2048314963. The reversal of 2048314950 is 594138402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2727075 + ... + 2727825.

It is an arithmetic number, because the mean of its divisors is an integer number (22729200).

Almost surely, 22048314950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048314950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273004800).

2048314950 is an abundant number, since it is smaller than the sum of its proper divisors (4497694650).

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

2048314950 is a wasteful number, since it uses less digits than its factorization.

2048314950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2048314950 is about 45258.3136009286. The cubic root of 2048314950 is about 1269.9859361495.

The spelling of 2048314950 in words is "two billion, forty-eight million, three hundred fourteen thousand, nine hundred fifty".