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248028840 = 23325688969
BaseRepresentation
bin11101100100010…
…01111010101000
3122021201011121100
432302021322220
51001443410330
640340041400
76101132103
oct1662117250
9567634540
10248028840
11118007814
126b093260
133c502437
1424d2573a
1516b95060
hexec89ea8

248028840 has 48 divisors (see below), whose sum is σ = 806094900. Its totient is φ = 66140928.

The previous prime is 248028839. The next prime is 248028853. The reversal of 248028840 is 48820842.

248028840 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 2 ways, for example, as 238331844 + 9696996 = 15438^2 + 3114^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248028795 and 248028804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344125 + ... + 344844.

Almost surely, 2248028840 is an apocalyptic number.

248028840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248028840 is an abundant number, since it is smaller than the sum of its proper divisors (558066060).

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

248028840 is a wasteful number, since it uses less digits than its factorization.

248028840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688986 (or 688979 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 248028840 is about 15748.9313923199. The cubic root of 248028840 is about 628.3004836789.

The spelling of 248028840 in words is "two hundred forty-eight million, twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 688969 1377938 2066907 2755876 3444845 4133814 5511752 6200721 6889690 8267628 10334535 12401442 13779380 16535256 20669070 24802884 27558760 31003605 41338140 49605768 62007210 82676280 124014420 248028840