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683440992 = 253213277659
BaseRepresentation
bin101000101111000…
…111101101100000
31202122000101210100
4220233013231200
52344430102432
6151452302400
722636103223
oct5057075540
91678011710
10683440992
1132086a373
12170a71a00
13ab792270
1466aa75ba
154000107c
hex28bc7b60

683440992 has 144 divisors (see below), whose sum is σ = 2103781680. Its totient is φ = 209212416.

The previous prime is 683440969. The next prime is 683440997. The reversal of 683440992 is 299044386.

683440992 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 hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683440997) 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, 1036759 + ... + 1037417.

It is an arithmetic number, because the mean of its divisors is an integer number (14609595).

Almost surely, 2683440992 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 683440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051890840).

683440992 is an abundant number, since it is smaller than the sum of its proper divisors (1420340688).

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

683440992 is a wasteful number, since it uses less digits than its factorization.

683440992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 683440992 is about 26142.7043742609. The cubic root of 683440992 is about 880.8467194764.

The spelling of 683440992 in words is "six hundred eighty-three million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 277 288 312 416 468 554 624 659 831 936 1108 1248 1318 1662 1872 1977 2216 2493 2636 3324 3601 3744 3954 4432 4986 5272 5931 6648 7202 7908 8567 8864 9972 10544 10803 11862 13296 14404 15816 17134 19944 21088 21606 23724 25701 26592 28808 31632 32409 34268 39888 43212 47448 51402 57616 63264 64818 68536 77103 79776 86424 94896 102804 115232 129636 137072 154206 172848 182543 189792 205608 259272 274144 308412 345696 365086 411216 518544 547629 616824 730172 822432 1037088 1095258 1233648 1460344 1642887 2190516 2373059 2467296 2920688 3285774 4381032 4746118 5841376 6571548 7119177 8762064 9492236 13143096 14238354 17524128 18984472 21357531 26286192 28476708 37968944 42715062 52572384 56953416 75937888 85430124 113906832 170860248 227813664 341720496 683440992