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8073728 = 29131213
BaseRepresentation
bin11110110011001000000000
3120012012001222
4132303020000
54031324403
6445014212
7125424365
oct36631000
916165058
108073728
114614a03
122854368
131898b70
14110246c
15a97338
hex7b3200

8073728 has 40 divisors (see below), whose sum is σ = 17386908. Its totient is φ = 3723264.

The previous prime is 8073647. The next prime is 8073749. The reversal of 8073728 is 8273708.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6310144 + 1763584 = 2512^2 + 1328^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6050 + ... + 7262.

Almost surely, 28073728 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 8073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693454).

8073728 is an abundant number, since it is smaller than the sum of its proper divisors (9313180).

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

8073728 is a wasteful number, since it uses less digits than its factorization.

8073728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 8073728 is about 2841.4306255828. The cubic root of 8073728 is about 200.6125221679.

The spelling of 8073728 in words is "eight million, seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1213 1664 2426 3328 4852 6656 9704 15769 19408 31538 38816 63076 77632 126152 155264 252304 310528 504608 621056 1009216 2018432 4036864 8073728