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2442241248 = 25325440013
BaseRepresentation
bin1001000110010001…
…1010010011100000
320022012111201011120
42101210122103200
520000203204443
61042201412240
7114343464606
oct22144322340
96265451146
102442241248
111043643aa7
12581a9a080
132cbc88685
141924d7876
15e461c083
hex9191a4e0

2442241248 has 24 divisors (see below), whose sum is σ = 6410883528. Its totient is φ = 814080384.

The previous prime is 2442241237. The next prime is 2442241271. The reversal of 2442241248 is 8421422442.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12719911 + ... + 12720102.

It is an arithmetic number, because the mean of its divisors is an integer number (267120147).

Almost surely, 22442241248 is an apocalyptic number.

It is an amenable number.

2442241248 is an abundant number, since it is smaller than the sum of its proper divisors (3968642280).

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

2442241248 is a wasteful number, since it uses less digits than its factorization.

2442241248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25440026 (or 25440018 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

The square root of 2442241248 is about 49419.0373034522. The cubic root of 2442241248 is about 1346.6751740577.

The spelling of 2442241248 in words is "two billion, four hundred forty-two million, two hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 25440013 50880026 76320039 101760052 152640078 203520104 305280156 407040208 610560312 814080416 1221120624 2442241248