Search a number
-
+
989029296 = 243224128499
BaseRepresentation
bin111010111100110…
…110001110110000
32112221000220010200
4322330312032300
54011142414141
6242050155200
733336416223
oct7274661660
92487026120
10989029296
11468310392
12237282b00
13129b98848
14954d35ba
155bc65ab6
hex3af363b0

989029296 has 60 divisors (see below), whose sum is σ = 2779491000. Its totient is φ = 328296960.

The previous prime is 989029289. The next prime is 989029297. The reversal of 989029296 is 692920989.

It is not an unprimeable number, because it can be changed into a prime (989029297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20455 + ... + 48953.

It is an arithmetic number, because the mean of its divisors is an integer number (46324850).

Almost surely, 2989029296 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 989029296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389745500).

989029296 is an abundant number, since it is smaller than the sum of its proper divisors (1790461704).

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

989029296 is a wasteful number, since it uses less digits than its factorization.

989029296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28754 (or 28745 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 989029296 is about 31448.8361628853. The cubic root of 989029296 is about 996.3296436326.

The spelling of 989029296 in words is "nine hundred eighty-nine million, twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3856 4338 5784 8676 11568 17352 28499 34704 56998 85497 113996 170994 227992 256491 341988 455984 512982 683976 1025964 1367952 2051928 4103856 6868259 13736518 20604777 27473036 41209554 54946072 61814331 82419108 109892144 123628662 164838216 247257324 329676432 494514648 989029296