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248876125 = 539971997
BaseRepresentation
bin11101101010110…
…00110001011101
3122100022012212021
432311120301131
51002203014000
640410140141
76111261241
oct1665306135
9570265767
10248876125
11118536353
126b421651
133c73aca4
14250a6421
1516cb111a
hexed58c5d

248876125 has 16 divisors (see below), whose sum is σ = 311064624. Its totient is φ = 198801600.

The previous prime is 248876113. The next prime is 248876137. The reversal of 248876125 is 521678842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248876113) and next prime (248876137).

It can be written as a sum of positive squares in 8 ways, for example, as 107599129 + 141276996 = 10373^2 + 11886^2 .

It is not a de Polignac number, because 248876125 - 217 = 248745053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123627 + ... + 125623.

It is an arithmetic number, because the mean of its divisors is an integer number (19441539).

Almost surely, 2248876125 is an apocalyptic number.

248876125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248876125 is a deficient number, since it is larger than the sum of its proper divisors (62188499).

248876125 is an equidigital number, since it uses as much as digits as its factorization.

248876125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2999 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 248876125 is about 15775.8082201832. The cubic root of 248876125 is about 629.0151109795.

It can be divided in two parts, 248876 and 125, that added together give a square (249001 = 4992).

The spelling of 248876125 in words is "two hundred forty-eight million, eight hundred seventy-six thousand, one hundred twenty-five".

Divisors: 1 5 25 125 997 1997 4985 9985 24925 49925 124625 249625 1991009 9955045 49775225 248876125