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1681778208 = 253112954917
BaseRepresentation
bin110010000111101…
…1110011000100000
311100012120011222210
41210033132120200
511421013400313
6434514202120
756450610315
oct14417363040
94305504883
101681778208
11793357950
123ab283340
1320a569646
1411d500d0c
159c9a49c3
hex643de620

1681778208 has 96 divisors (see below), whose sum is σ = 4982160960. Its totient is φ = 492047360.

The previous prime is 1681778201. The next prime is 1681778257. The reversal of 1681778208 is 8028771861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1681778201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166 + ... + 58082.

It is an arithmetic number, because the mean of its divisors is an integer number (51897510).

Almost surely, 21681778208 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 1681778208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491080480).

1681778208 is an abundant number, since it is smaller than the sum of its proper divisors (3300382752).

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

1681778208 is a wasteful number, since it uses less digits than its factorization.

1681778208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54970 (or 54962 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The square root of 1681778208 is about 41009.4892433446. The cubic root of 1681778208 is about 1189.2036684347.

The spelling of 1681778208 in words is "one billion, six hundred eighty-one million, seven hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 54917 109834 164751 219668 329502 439336 604087 659004 878672 1208174 1318008 1592593 1757344 1812261 2416348 2636016 3185186 3624522 4777779 4832696 5272032 6370372 7249044 9555558 9665392 12740744 14498088 17518523 19111116 19330784 25481488 28996176 35037046 38222232 50962976 52555569 57992352 70074092 76444464 105111138 140148184 152888928 210222276 280296368 420444552 560592736 840889104 1681778208