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78071248 = 24291131489
BaseRepresentation
bin1001010011101…
…00010111010000
312102220102121201
410221310113100
5124441234443
611425200544
71635410653
oct451642720
9172812551
1078071248
11400840a2
1222190154
1313236508
14a52389a
156cc234d
hex4a745d0

78071248 has 40 divisors (see below), whose sum is σ = 157969800. Its totient is φ = 37330944.

The previous prime is 78071239. The next prime is 78071249. The reversal of 78071248 is 84217087.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 77651344 = 648^2 + 8812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78071249) 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, 51688 + ... + 53176.

It is an arithmetic number, because the mean of its divisors is an integer number (3949245).

Almost surely, 278071248 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 78071248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78984900).

78071248 is an abundant number, since it is smaller than the sum of its proper divisors (79898552).

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

78071248 is a wasteful number, since it uses less digits than its factorization.

78071248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 78071248 is about 8835.7935693406. The cubic root of 78071248 is about 427.3959219065.

The spelling of 78071248 in words is "seventy-eight million, seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 113 116 226 232 452 464 904 1489 1808 2978 3277 5956 6554 11912 13108 23824 26216 43181 52432 86362 168257 172724 336514 345448 673028 690896 1346056 2692112 4879453 9758906 19517812 39035624 78071248