Search a number
-
+
8285928 = 2337313743
BaseRepresentation
bin11111100110111011101000
3120120222011020
4133212323220
54110122203
6453332440
7130300140
oct37467350
916528136
108285928
11474a382
122937120
131941621
141159920
15ada153
hex7e6ee8

8285928 has 128 divisors (see below), whose sum is σ = 25681920. Its totient is φ = 2177280.

The previous prime is 8285903. The next prime is 8285933. The reversal of 8285928 is 8295828.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8285928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192675 + ... + 192717.

It is an arithmetic number, because the mean of its divisors is an integer number (200640).

Almost surely, 28285928 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 8285928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840960).

8285928 is an abundant number, since it is smaller than the sum of its proper divisors (17395992).

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

8285928 is a wasteful number, since it uses less digits than its factorization.

8285928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 8285928 is about 2878.5287908930. The cubic root of 8285928 is about 202.3548968119.

The spelling of 8285928 in words is "eight million, two hundred eighty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 43 56 62 74 84 86 93 111 124 129 148 168 172 186 217 222 248 258 259 296 301 344 372 434 444 516 518 602 651 744 777 868 888 903 1032 1036 1147 1204 1302 1333 1554 1591 1736 1806 2072 2294 2408 2604 2666 3108 3182 3441 3612 3999 4588 4773 5208 5332 6216 6364 6882 7224 7998 8029 9176 9331 9546 10664 11137 12728 13764 15996 16058 18662 19092 22274 24087 27528 27993 31992 32116 33411 37324 38184 44548 48174 49321 55986 64232 66822 74648 89096 96348 98642 111972 133644 147963 192696 197284 223944 267288 295926 345247 394568 591852 690494 1035741 1183704 1380988 2071482 2761976 4142964 8285928