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68337248 = 257476491
BaseRepresentation
bin1000001001010…
…11111001100000
311202120220002012
410010223321200
5114443242443
610440412052
71456566650
oct404537140
9152526065
1068337248
1135635871
121aa77028
1311208a55
14910c360
155eed118
hex412be60

68337248 has 48 divisors (see below), whose sum is σ = 157054464. Its totient is φ = 28659840.

The previous prime is 68337239. The next prime is 68337259. The reversal of 68337248 is 84273386.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7283 + ... + 13773.

It is an arithmetic number, because the mean of its divisors is an integer number (3271968).

Almost surely, 268337248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68337248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78527232).

68337248 is an abundant number, since it is smaller than the sum of its proper divisors (88717216).

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

68337248 is a wasteful number, since it uses less digits than its factorization.

68337248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6547 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 68337248 is about 8266.6346235938. The cubic root of 68337248 is about 408.8391673595.

The spelling of 68337248 in words is "sixty-eight million, three hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 6491 10528 12982 25964 45437 51928 90874 103856 181748 207712 305077 363496 610154 726992 1220308 1453984 2135539 2440616 4271078 4881232 8542156 9762464 17084312 34168624 68337248