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248523440 = 24511282413
BaseRepresentation
bin11101101000000…
…10101010110000
3122022122022001212
432310002222300
51002110222230
640354415252
76105262064
oct1664025260
9568568055
10248523440
11118315380
126b291528
133c6465b9
1425013aa4
1516c41895
hexed02ab0

248523440 has 40 divisors (see below), whose sum is σ = 630348048. Its totient is φ = 90371840.

The previous prime is 248523437. The next prime is 248523449. The reversal of 248523440 is 44325842.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 248523397 and 248523406.

It is not an unprimeable number, because it can be changed into a prime (248523449) 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, 140327 + ... + 142086.

Almost surely, 2248523440 is an apocalyptic number.

248523440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248523440 is an abundant number, since it is smaller than the sum of its proper divisors (381824608).

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

248523440 is a wasteful number, since it uses less digits than its factorization.

248523440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282437 (or 282431 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 248523440 is about 15764.6262245573. The cubic root of 248523440 is about 628.7178425163.

The spelling of 248523440 in words is "two hundred forty-eight million, five hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 282413 564826 1129652 1412065 2259304 2824130 3106543 4518608 5648260 6213086 11296520 12426172 15532715 22593040 24852344 31065430 49704688 62130860 124261720 248523440