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1683425856 = 26375323633
BaseRepresentation
bin110010001010111…
…0000101001000000
311100022122220010210
41210111300221000
511421424111411
6435013354120
756500612050
oct14425605100
94308586123
101683425856
11794282842
123ab938940
1320a9c5598
1411d80d560
159cbccca6
hex64570a40

1683425856 has 112 divisors (see below), whose sum is σ = 5186623104. Its totient is φ = 471883776.

The previous prime is 1683425851. The next prime is 1683425869. The reversal of 1683425856 is 6585243861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×16834258562 = 5667845225298665472, which contains 22 as substring.

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 (1683425851) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59416 + ... + 83048.

Almost surely, 21683425856 is an apocalyptic number.

1683425856 is a gapful number since it is divisible by the number (16) 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 1683425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593311552).

1683425856 is an abundant number, since it is smaller than the sum of its proper divisors (3503197248).

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

1683425856 is a wasteful number, since it uses less digits than its factorization.

1683425856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23708 (or 23698 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 1683425856 is about 41029.5729444019. The cubic root of 1683425856 is about 1189.5918982876.

The spelling of 1683425856 in words is "one billion, six hundred eighty-three million, four hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 23633 23744 35616 47266 70899 71232 94532 141798 165431 189064 283596 330862 378128 496293 567192 661724 756256 992586 1134384 1252549 1323448 1512512 1985172 2268768 2505098 2646896 3757647 3970344 4537536 5010196 5293792 7515294 7940688 8767843 10020392 10587584 15030588 15881376 17535686 20040784 26303529 30061176 31762752 35071372 40081568 52607058 60122352 70142744 80163136 105214116 120244704 140285488 210428232 240489408 280570976 420856464 561141952 841712928 1683425856