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248266848 = 2533183423
BaseRepresentation
bin11101100110001…
…00000001100000
3122022011021002110
432303010001200
51002024014343
640345115320
76103143024
oct1663040140
9568137073
10248266848
1111815a615
126b188b40
133c58687b
1424d88384
1516be0833
hexecc4060

248266848 has 48 divisors (see below), whose sum is σ = 672731136. Its totient is φ = 80085120.

The previous prime is 248266847. The next prime is 248266871. The reversal of 248266848 is 848662842.

248266848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 248266797 and 248266806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248266841) 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, 38736 + ... + 44687.

It is an arithmetic number, because the mean of its divisors is an integer number (14015232).

Almost surely, 2248266848 is an apocalyptic number.

It is an amenable number.

248266848 is an abundant number, since it is smaller than the sum of its proper divisors (424464288).

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

248266848 is a wasteful number, since it uses less digits than its factorization.

248266848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83467 (or 83459 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 248266848 is about 15756.4859026370. The cubic root of 248266848 is about 628.5013914095.

The spelling of 248266848 in words is "two hundred forty-eight million, two hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 83423 166846 250269 333692 500538 667384 1001076 1334768 2002152 2586113 2669536 4004304 5172226 7758339 8008608 10344452 15516678 20688904 31033356 41377808 62066712 82755616 124133424 248266848