Search a number
-
+
998468064 = 2532112711163
BaseRepresentation
bin111011100000110…
…110100111100000
32120120210102200200
4323200312213200
54021101434224
6243024345200
733512560416
oct7340664740
92516712620
10998468064
11472677920
1223a475200
1312bb21b09
149686d2b6
155c9cc5c9
hex3b8369e0

998468064 has 144 divisors (see below), whose sum is σ = 3111623424. Its totient is φ = 301190400.

The previous prime is 998468063. The next prime is 998468071. The reversal of 998468064 is 460864899.

998468064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 998468064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998468063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857947 + ... + 859109.

It is an arithmetic number, because the mean of its divisors is an integer number (21608496).

Almost surely, 2998468064 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 998468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555811712).

998468064 is an abundant number, since it is smaller than the sum of its proper divisors (2113155360).

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

998468064 is a wasteful number, since it uses less digits than its factorization.

998468064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 998468064 is about 31598.5452829715. The cubic root of 998468064 is about 999.4890936859.

The spelling of 998468064 in words is "nine hundred ninety-eight million, four hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 271 288 352 396 528 542 792 813 1056 1084 1163 1584 1626 2168 2326 2439 2981 3168 3252 3489 4336 4652 4878 5962 6504 6978 8672 8943 9304 9756 10467 11924 12793 13008 13956 17886 18608 19512 20934 23848 25586 26016 26829 27912 35772 37216 38379 39024 41868 47696 51172 53658 55824 71544 76758 78048 83736 95392 102344 107316 111648 115137 143088 153516 167472 204688 214632 230274 286176 307032 315173 334944 409376 429264 460548 614064 630346 858528 921096 945519 1228128 1260692 1842192 1891038 2521384 2836557 3466903 3684384 3782076 5042768 5673114 6933806 7564152 10085536 10400709 11346228 13867612 15128304 20801418 22692456 27735224 30256608 31202127 41602836 45384912 55470448 62404254 83205672 90769824 110940896 124808508 166411344 249617016 332822688 499234032 998468064