Search a number
-
+
928225536 = 2837237507
BaseRepresentation
bin110111010100111…
…001100100000000
32101200121202001120
4313110321210000
53400111204121
6232035032240
732000533620
oct6724714400
92350552046
10928225536
11436a60647
1221aa3b680
1311a3c9aa4
148b3c6880
1556754bc6
hex37539900

928225536 has 144 divisors (see below), whose sum is σ = 2946499584. Its totient is φ = 253642752.

The previous prime is 928225499. The next prime is 928225547. The reversal of 928225536 is 635522829.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119895 + ... + 127401.

Almost surely, 2928225536 is an apocalyptic number.

928225536 is a gapful number since it is divisible by the number (96) 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 928225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473249792).

928225536 is an abundant number, since it is smaller than the sum of its proper divisors (2018274048).

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

928225536 is a wasteful number, since it uses less digits than its factorization.

928225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7542 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 928225536 is about 30466.7939895224. The cubic root of 928225536 is about 975.4788044088.

The spelling of 928225536 in words is "nine hundred twenty-eight million, two hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7507 7728 8832 10304 15014 15456 17664 20608 22521 30028 30912 41216 45042 52549 60056 61824 90084 105098 120112 123648 157647 172661 180168 210196 240224 315294 345322 360336 420392 480448 517983 630588 690644 720672 840784 960896 1035966 1208627 1261176 1381288 1441344 1681568 1921792 2071932 2417254 2522352 2762576 2882688 3363136 3625881 4143864 4834508 5044704 5525152 5765376 6726272 7251762 8287728 9669016 10089408 11050304 13452544 14503524 16575456 19338032 20178816 22100608 29007048 33150912 38676064 40357632 44201216 58014096 66301824 77352128 116028192 132603648 154704256 232056384 309408512 464112768 928225536