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248424640 = 265776327
BaseRepresentation
bin11101100111010…
…10100011000000
3122022110021112121
432303222203000
51002044042030
640352334024
76104401042
oct1663524300
9568407477
10248424640
11118258122
126b244314
133c610639
1424dc9a92
1516c2247a
hexecea8c0

248424640 has 28 divisors (see below), whose sum is σ = 591561936. Its totient is φ = 99369728.

The previous prime is 248424637. The next prime is 248424647. The reversal of 248424640 is 46424842.

It is a junction number, because it is equal to n+sod(n) for n = 248424596 and 248424605.

It is not an unprimeable number, because it can be changed into a prime (248424647) 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, 387844 + ... + 388483.

It is an arithmetic number, because the mean of its divisors is an integer number (21127212).

Almost surely, 2248424640 is an apocalyptic number.

248424640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248424640 is an abundant number, since it is smaller than the sum of its proper divisors (343137296).

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

248424640 is an equidigital number, since it uses as much as digits as its factorization.

248424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776344 (or 776334 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 248424640 is about 15761.4923151331. The cubic root of 248424640 is about 628.6345162968.

The spelling of 248424640 in words is "two hundred forty-eight million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 776327 1552654 3105308 3881635 6210616 7763270 12421232 15526540 24842464 31053080 49684928 62106160 124212320 248424640