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248027620 = 22517729493
BaseRepresentation
bin11101100100010…
…01100111100100
3122021201002221011
432302021213210
51001443340440
640340032004
76101125411
oct1662114744
9567632834
10248027620
11118006905
126b092604
133c501a09
1424d25108
1516b949ea
hexec899e4

248027620 has 24 divisors (see below), whose sum is σ = 551497464. Its totient is φ = 93374976.

The previous prime is 248027609. The next prime is 248027623. The reversal of 248027620 is 26720842.

248027620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28217344 + 219810276 = 5312^2 + 14826^2 .

It is not an unprimeable number, because it can be changed into a prime (248027623) 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, 364407 + ... + 365086.

It is an arithmetic number, because the mean of its divisors is an integer number (22979061).

Almost surely, 2248027620 is an apocalyptic number.

248027620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248027620 is an abundant number, since it is smaller than the sum of its proper divisors (303469844).

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

248027620 is a wasteful number, since it uses less digits than its factorization.

248027620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729519 (or 729517 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 248027620 is about 15748.8926594856. The cubic root of 248027620 is about 628.2994535194.

The spelling of 248027620 in words is "two hundred forty-eight million, twenty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 729493 1458986 2917972 3647465 7294930 12401381 14589860 24802762 49605524 62006905 124013810 248027620