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8195328 = 28323557
BaseRepresentation
bin11111010000110100000000
3120102100212200
4133100310000
54044222303
6451353200
7126442041
oct37206400
916370780
108195328
1146982a9
1228b2800
13190c30b
1411348c8
15abd3a3
hex7d0d00

8195328 has 54 divisors (see below), whose sum is σ = 23635794. Its totient is φ = 2731008.

The previous prime is 8195321. The next prime is 8195329. The reversal of 8195328 is 8235918.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 2663424 = 2352^2 + 1632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8195292 and 8195301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8195321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 526 + ... + 4082.

Almost surely, 28195328 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 8195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817897).

8195328 is an abundant number, since it is smaller than the sum of its proper divisors (15440466).

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

8195328 is a wasteful number, since it uses less digits than its factorization.

8195328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3562 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 8195328 is about 2862.7483298397. The cubic root of 8195328 is about 201.6146625768.

The spelling of 8195328 in words is "eight million, one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3557 7114 10671 14228 21342 28456 32013 42684 56912 64026 85368 113824 128052 170736 227648 256104 341472 455296 512208 682944 910592 1024416 1365888 2048832 2731776 4097664 8195328