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4389460992 = 21032768041
BaseRepresentation
bin1000001011010000…
…11101110000000000
3102022220112201111100
410011220131300000
532442200222432
62003321214400
7213526542240
oct40550356000
912286481440
104389460992
111952811014
12a26031400
1354c512cc7
142d8d73b20
151aa55607c
hex105a1dc00

4389460992 has 132 divisors (see below), whose sum is σ = 14485325296. Its totient is φ = 1254113280.

The previous prime is 4389460987. The next prime is 4389461017. The reversal of 4389460992 is 2990649834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30492 + ... + 98532.

Almost surely, 24389460992 is an apocalyptic number.

4389460992 is a gapful number since it is divisible by the number (42) 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 4389460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242662648).

4389460992 is an abundant number, since it is smaller than the sum of its proper divisors (10095864304).

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

4389460992 is a wasteful number, since it uses less digits than its factorization.

4389460992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68074 (or 68053 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 4389460992 is about 66253.0074185316. The cubic root of 4389460992 is about 1637.3331871485. Note that the first 3 decimals are identical.

The spelling of 4389460992 in words is "four billion, three hundred eighty-nine million, four hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 68041 136082 204123 272164 408246 476287 544328 612369 816492 952574 1088656 1224738 1428861 1632984 1905148 2177312 2449476 2857722 3265968 3810296 4286583 4354624 4898952 5715444 6531936 7620592 8573166 8709248 9797904 11430888 13063872 15241184 17146332 17418496 19595808 22861776 26127744 30482368 34292664 34836992 39191616 45723552 52255488 60964736 68585328 69673984 78383232 91447104 104510976 121929472 137170656 156766464 182894208 209021952 243858944 274341312 313532928 365788416 487717888 548682624 627065856 731576832 1097365248 1463153664 2194730496 4389460992