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989311968 = 25341013779
BaseRepresentation
bin111010111101111…
…011001111100000
32112221120020220000
4322331323033200
54011230440333
6242100220000
733342004311
oct7275731740
92487506800
10989311968
114684937a7
1223739a600
13129c673c8
1495568608
155bcbe713
hex3af7b3e0

989311968 has 120 divisors (see below), whose sum is σ = 2939123880. Its totient is φ = 326419200.

The previous prime is 989311963. The next prime is 989311979. The reversal of 989311968 is 869113989.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989311963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259903 + ... + 263681.

It is an arithmetic number, because the mean of its divisors is an integer number (24492699).

Almost surely, 2989311968 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 989311968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469561940).

989311968 is an abundant number, since it is smaller than the sum of its proper divisors (1949811912).

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

989311968 is a wasteful number, since it uses less digits than its factorization.

989311968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3885 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 989311968 is about 31453.3299985868. The cubic root of 989311968 is about 996.4245540891.

The spelling of 989311968 in words is "nine hundred eighty-nine million, three hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 101 108 144 162 202 216 288 303 324 404 432 606 648 808 864 909 1212 1296 1616 1818 2424 2592 2727 3232 3636 3779 4848 5454 7272 7558 8181 9696 10908 11337 14544 15116 16362 21816 22674 29088 30232 32724 34011 43632 45348 60464 65448 68022 87264 90696 102033 120928 130896 136044 181392 204066 261792 272088 306099 362784 381679 408132 544176 612198 763358 816264 1088352 1145037 1224396 1526716 1632528 2290074 2448792 3053432 3265056 3435111 4580148 4897584 6106864 6870222 9160296 9795168 10305333 12213728 13740444 18320592 20610666 27480888 30915999 36641184 41221332 54961776 61831998 82442664 109923552 123663996 164885328 247327992 329770656 494655984 989311968