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78245448 = 2332326163
BaseRepresentation
bin1001010100111…
…10111001001000
312110020021120120
410222132321020
5130012323243
611433023240
71640034561
oct452367110
9173207516
1078245448
1140192a66
1222254b20
13132978a8
14a56b168
156d08c83
hex4a9ee48

78245448 has 48 divisors (see below), whose sum is σ = 204521520. Its totient is φ = 24943776.

The previous prime is 78245443. The next prime is 78245467. The reversal of 78245448 is 84454287.

It is a super-2 number, since 2×782454482 = 12244700265441408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78245443) 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 11 ways as a sum of consecutive naturals, for example, 9615 + ... + 15777.

It is an arithmetic number, because the mean of its divisors is an integer number (4260865).

Almost surely, 278245448 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 78245448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102260760).

78245448 is an abundant number, since it is smaller than the sum of its proper divisors (126276072).

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

78245448 is a wasteful number, since it uses less digits than its factorization.

78245448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6191 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 78245448 is about 8845.6457084828. The cubic root of 78245448 is about 427.7135679242.

The spelling of 78245448 in words is "seventy-eight million, two hundred forty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 529 552 1058 1587 2116 3174 4232 6163 6348 12326 12696 18489 24652 36978 49304 73956 141749 147912 283498 425247 566996 850494 1133992 1700988 3260227 3401976 6520454 9780681 13040908 19561362 26081816 39122724 78245448