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248776397 = 4135317189
BaseRepresentation
bin11101101010000…
…00011011001101
3122100010011001122
432311000123031
51002141321042
640404050325
76110364422
oct1665003315
9570104048
10248776397
11118478431
126b3939a5
133c70478c
142507bd49
1516c917d2
hexed406cd

248776397 has 8 divisors (see below), whose sum is σ = 255580920. Its totient is φ = 242007040.

The previous prime is 248776387. The next prime is 248776439. The reversal of 248776397 is 793677842.

248776397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25542916 + 223233481 = 5054^2 + 14941^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 248776397 - 28 = 248776141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248776327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5879 + ... + 23067.

It is an arithmetic number, because the mean of its divisors is an integer number (31947615).

Almost surely, 2248776397 is an apocalyptic number.

It is an amenable number.

248776397 is a deficient number, since it is larger than the sum of its proper divisors (6804523).

248776397 is a wasteful number, since it uses less digits than its factorization.

248776397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17583.

The product of its digits is 3556224, while the sum is 53.

The square root of 248776397 is about 15772.6471145461. The cubic root of 248776397 is about 628.9310814918.

The spelling of 248776397 in words is "two hundred forty-eight million, seven hundred seventy-six thousand, three hundred ninety-seven".

Divisors: 1 41 353 14473 17189 704749 6067717 248776397