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248902083 = 32174734613
BaseRepresentation
bin11101101010111…
…11000111000011
3122100100112110200
432311133013003
51002204331313
640410500243
76111430023
oct1665370703
9570315420
10248902083
11118553901
126b434683
133c749a51
14250b1a83
1516cb8b73
hexed5f1c3

248902083 has 24 divisors (see below), whose sum is σ = 388784448. Its totient is φ = 152846592.

The previous prime is 248902081. The next prime is 248902091. The reversal of 248902083 is 380209842.

It is not a de Polignac number, because 248902083 - 21 = 248902081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248902081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10116 + ... + 24497.

It is an arithmetic number, because the mean of its divisors is an integer number (16199352).

Almost surely, 2248902083 is an apocalyptic number.

248902083 is a deficient number, since it is larger than the sum of its proper divisors (139882365).

248902083 is a wasteful number, since it uses less digits than its factorization.

248902083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34683 (or 34680 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248902083 is about 15776.6309141084. The cubic root of 248902083 is about 629.0369791634.

The spelling of 248902083 in words is "two hundred forty-eight million, nine hundred two thousand, eighty-three".

Divisors: 1 3 9 17 47 51 141 153 423 799 2397 7191 34613 103839 311517 588421 1626811 1765263 4880433 5295789 14641299 27655787 82967361 248902083