Search a number
-
+
1685053248 = 26323936721
BaseRepresentation
bin110010001101111…
…1101111101000000
311100102201120111120
41210123331331000
511422333200443
6435112312240
756520500454
oct14433757500
94312646446
101685053248
1179519449a
123b03a2680
1320b145238
1411db14664
159ce00083
hex646fdf40

1685053248 has 56 divisors (see below), whose sum is σ = 4477146240. Its totient is φ = 559319040.

The previous prime is 1685053231. The next prime is 1685053261. The reversal of 1685053248 is 8423505861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27528 + ... + 64248.

It is an arithmetic number, because the mean of its divisors is an integer number (79949040).

Almost surely, 21685053248 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 1685053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238573120).

1685053248 is an abundant number, since it is smaller than the sum of its proper divisors (2792092992).

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

1685053248 is a wasteful number, since it uses less digits than its factorization.

1685053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36975 (or 36965 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1685053248 is about 41049.4000930586. The cubic root of 1685053248 is about 1189.9751066986.

The spelling of 1685053248 in words is "one billion, six hundred eighty-five million, fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 36721 45888 73442 110163 146884 220326 293768 440652 587536 881304 1175072 1762608 2350144 3525216 7050432 8776319 17552638 26328957 35105276 52657914 70210552 105315828 140421104 210631656 280842208 421263312 561684416 842526624 1685053248