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5809319028 = 2234314114107
BaseRepresentation
bin1010110100100001…
…10010110001110100
3112222212020222120000
411122100302301310
543344141202103
62400241511300
7263650253112
oct53220626164
915885228500
105809319028
112511233407
121161642530
137177253a6
143d1774ab2
1524001eaa3
hex15a432c74

5809319028 has 120 divisors (see below), whose sum is σ = 16060095744. Its totient is φ = 1828137600.

The previous prime is 5809319011. The next prime is 5809319071. The reversal of 5809319028 is 8209139085.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 404751 + ... + 418857.

Almost surely, 25809319028 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 5809319028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030047872).

5809319028 is an abundant number, since it is smaller than the sum of its proper divisors (10250776716).

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

5809319028 is a wasteful number, since it uses less digits than its factorization.

5809319028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14195 (or 14184 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5809319028 is about 76218.8889186926. Note that the first 3 decimals coincide. The cubic root of 5809319028 is about 1797.6635351634.

The spelling of 5809319028 in words is "five billion, eight hundred nine million, three hundred nineteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 81 82 93 108 123 124 162 164 186 246 279 324 369 372 492 558 738 837 1107 1116 1271 1476 1674 2214 2511 2542 3321 3348 3813 4428 5022 5084 6642 7626 10044 11439 13284 14107 15252 22878 28214 34317 42321 45756 56428 68634 84642 102951 126963 137268 169284 205902 253926 380889 411804 437317 507852 578387 761778 874634 1142667 1156774 1311951 1523556 1735161 1749268 2285334 2313548 2623902 3470322 3935853 4570668 5205483 5247804 6940644 7871706 10410966 11807559 15616449 15743412 17929997 20821932 23615118 31232898 35422677 35859994 46849347 47230236 53789991 62465796 70845354 71719988 93698694 107579982 141690708 161369973 187397388 215159964 322739946 484109919 645479892 968219838 1452329757 1936439676 2904659514 5809319028