Search a number
-
+
741985728 = 263112571367
BaseRepresentation
bin101100001110011…
…100110111000000
31220201011210001220
4230032130313000
53004422020403
6201343155040
724246526461
oct5416346700
91821153056
10741985728
11350916950
121885a5a80
13ba94ca13
1470786d68
1545217953
hex2c39cdc0

741985728 has 112 divisors (see below), whose sum is σ = 2151546624. Its totient is φ = 223805440.

The previous prime is 741985709. The next prime is 741985729. The reversal of 741985728 is 827589147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741985729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542101 + ... + 543467.

Almost surely, 2741985728 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 741985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075773312).

741985728 is an abundant number, since it is smaller than the sum of its proper divisors (1409560896).

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

741985728 is a wasteful number, since it uses less digits than its factorization.

741985728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 51.

The square root of 741985728 is about 27239.4149716913. The cubic root of 741985728 is about 905.3125007708.

The spelling of 741985728 in words is "seven hundred forty-one million, nine hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 257 264 352 514 528 704 771 1028 1056 1367 1542 2056 2112 2734 2827 3084 4101 4112 5468 5654 6168 8202 8224 8481 10936 11308 12336 15037 16404 16448 16962 21872 22616 24672 30074 32808 33924 43744 45111 45232 49344 60148 65616 67848 87488 90222 90464 120296 131232 135696 180444 180928 240592 262464 271392 351319 360888 481184 542784 702638 721776 962368 1053957 1405276 1443552 2107914 2810552 2887104 3864509 4215828 5621104 7729018 8431656 11242208 11593527 15458036 16863312 22484416 23187054 30916072 33726624 46374108 61832144 67453248 92748216 123664288 185496432 247328576 370992864 741985728