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8193328 = 2411133581
BaseRepresentation
bin11111010000010100110000
3120102021010121
4133100110300
54044141303
6451340024
7126433153
oct37202460
916367117
108193328
114696850
1228b1614
13190b430
141133c9a
15abc9bd
hex7d0530

8193328 has 40 divisors (see below), whose sum is σ = 18655056. Its totient is φ = 3436800.

The previous prime is 8193319. The next prime is 8193343. The reversal of 8193328 is 8233918.

It is a junction number, because it is equal to n+sod(n) for n = 8193293 and 8193302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498 + ... + 4078.

Almost surely, 28193328 is an apocalyptic number.

8193328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8193328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327528).

8193328 is an abundant number, since it is smaller than the sum of its proper divisors (10461728).

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

8193328 is a wasteful number, since it uses less digits than its factorization.

8193328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3607 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 8193328 is about 2862.3989938511. The cubic root of 8193328 is about 201.5982604620.

The spelling of 8193328 in words is "eight million, one hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 3581 7162 14324 28648 39391 46553 57296 78782 93106 157564 186212 315128 372424 512083 630256 744848 1024166 2048332 4096664 8193328