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248252377 = 17128911329
BaseRepresentation
bin11101100110000…
…00011111011001
3122022010112020111
432303000133121
51002023034002
640344524321
76103052602
oct1663003731
9568115214
10248252377
1111814a75a
126b1806a1
133c5800c9
1424d82da9
1516bdb3d7
hexecc07d9

248252377 has 8 divisors (see below), whose sum is σ = 263082600. Its totient is φ = 233447424.

The previous prime is 248252339. The next prime is 248252387. The reversal of 248252377 is 773252842.

It can be written as a sum of positive squares in 4 ways, for example, as 86936976 + 161315401 = 9324^2 + 12701^2 .

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 248252377 - 223 = 239863769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248252387) 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, 16249 + ... + 27577.

It is an arithmetic number, because the mean of its divisors is an integer number (32885325).

Almost surely, 2248252377 is an apocalyptic number.

It is an amenable number.

248252377 is a deficient number, since it is larger than the sum of its proper divisors (14830223).

248252377 is a wasteful number, since it uses less digits than its factorization.

248252377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635.

The product of its digits is 188160, while the sum is 40.

The square root of 248252377 is about 15756.0266882231. The cubic root of 248252377 is about 628.4891797906.

The spelling of 248252377 in words is "two hundred forty-eight million, two hundred fifty-two thousand, three hundred seventy-seven".

Divisors: 1 17 1289 11329 21913 192593 14603081 248252377