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2397381248 = 27101185441
BaseRepresentation
bin1000111011100101…
…0010001010000000
320012002002120211002
42032321102022000
514402212144443
61033520111132
7113260255463
oct21671221200
96162076732
102397381248
111020294019
1256aa654a8
132c28ac9b2
1418a57b2da
15e070a2b8
hex8ee52280

2397381248 has 32 divisors (see below), whose sum is σ = 4823346420. Its totient is φ = 1186816000.

The previous prime is 2397381229. The next prime is 2397381257. The reversal of 2397381248 is 8421837932.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2374417984 + 22963264 = 48728^2 + 4792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 79793 + ... + 105648.

Almost surely, 22397381248 is an apocalyptic number.

It is an amenable number.

2397381248 is an abundant number, since it is smaller than the sum of its proper divisors (2425965172).

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

2397381248 is a wasteful number, since it uses less digits than its factorization.

2397381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185556 (or 185544 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 2397381248 is about 48963.0600350918. The cubic root of 2397381248 is about 1338.3787565850.

The spelling of 2397381248 in words is "two billion, three hundred ninety-seven million, three hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 185441 370882 741764 1483528 2967056 5934112 11868224 18729541 23736448 37459082 74918164 149836328 299672656 599345312 1198690624 2397381248