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248832140 = 22512441607
BaseRepresentation
bin11101101010011…
…10000010001100
3122100012222112012
432311032002030
51002200112030
640405200352
76111016064
oct1665160214
9570188465
10248832140
111185062a7
126b4000b8
133c723c6b
14250943a4
1516ca3095
hexed4e08c

248832140 has 12 divisors (see below), whose sum is σ = 522547536. Its totient is φ = 99532848.

The previous prime is 248832131. The next prime is 248832149. The reversal of 248832140 is 41238842.

It is an interprime number because it is at equal distance from previous prime (248832131) and next prime (248832149).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248832097 and 248832106.

It is not an unprimeable number, because it can be changed into a prime (248832149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6220784 + ... + 6220823.

It is an arithmetic number, because the mean of its divisors is an integer number (43545628).

Almost surely, 2248832140 is an apocalyptic number.

248832140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248832140 is an abundant number, since it is smaller than the sum of its proper divisors (273715396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248832140 is a wasteful number, since it uses less digits than its factorization.

248832140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12441616 (or 12441614 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 248832140 is about 15774.4140937152. The cubic root of 248832140 is about 628.9780525704.

The spelling of 248832140 in words is "two hundred forty-eight million, eight hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 12441607 24883214 49766428 62208035 124416070 248832140