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248235377 = 13176731669
BaseRepresentation
bin11101100101111…
…00010101110001
3122022002122220212
432302330111301
51002022013002
640344313505
76102652205
oct1662742561
9568078825
10248235377
11118138a05
126b172895
133c575450
1424d7ab05
1516bd6352
hexecbc571

248235377 has 16 divisors (see below), whose sum is σ = 283646160. Its totient is φ = 215212032.

The previous prime is 248235373. The next prime is 248235391. The reversal of 248235377 is 773532842.

It can be written as a sum of positive squares in 8 ways, for example, as 3500641 + 244734736 = 1871^2 + 15644^2 .

It is a cyclic number.

It is not a de Polignac number, because 248235377 - 22 = 248235373 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248235371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147899 + ... + 149567.

It is an arithmetic number, because the mean of its divisors is an integer number (17727885).

Almost surely, 2248235377 is an apocalyptic number.

It is an amenable number.

248235377 is a deficient number, since it is larger than the sum of its proper divisors (35410783).

248235377 is a wasteful number, since it uses less digits than its factorization.

248235377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372.

The product of its digits is 282240, while the sum is 41.

The square root of 248235377 is about 15755.4872028763. The cubic root of 248235377 is about 628.4748334225.

The spelling of 248235377 in words is "two hundred forty-eight million, two hundred thirty-five thousand, three hundred seventy-seven".

Divisors: 1 13 17 221 673 1669 8749 11441 21697 28373 148733 368849 1123237 14602081 19095029 248235377