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5800042872 = 23321323412647
BaseRepresentation
bin1010110011011010…
…11010000101111000
3112222012210201001200
411121231122011320
543334302332442
62355311014200
7263505356661
oct53155320570
915865721050
105800042872
112506a78068
12115a50a360
13715828140
143d043c368
1523e2db34c
hex159b5a178

5800042872 has 96 divisors (see below), whose sum is σ = 16930411680. Its totient is φ = 1783192320.

The previous prime is 5800042841. The next prime is 5800042873. The reversal of 5800042872 is 2782400085.

It is a happy number.

5800042872 is a `hidden beast` number, since 580 + 0 + 0 + 4 + 2 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5800042873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2189853 + ... + 2192499.

It is an arithmetic number, because the mean of its divisors is an integer number (176358455).

Almost surely, 25800042872 is an apocalyptic number.

5800042872 is a gapful number since it is divisible by the number (52) 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 5800042872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465205840).

5800042872 is an abundant number, since it is smaller than the sum of its proper divisors (11130368808).

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

5800042872 is a wasteful number, since it uses less digits than its factorization.

5800042872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5800042872 is about 76158.0125265884. The cubic root of 5800042872 is about 1796.7062060401.

The spelling of 5800042872 in words is "five billion, eight hundred million, forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2341 2647 4682 5294 7023 7941 9364 10588 14046 15882 18728 21069 21176 23823 28092 30433 31764 34411 42138 47646 56184 60866 63528 68822 84276 91299 95292 103233 121732 137644 168552 182598 190584 206466 243464 273897 275288 309699 365196 412932 547794 619398 730392 825864 1095588 1238796 2191176 2477592 6196627 12393254 18589881 24786508 37179762 49573016 55769643 74359524 80556151 111539286 148719048 161112302 223078572 241668453 322224604 446157144 483336906 644449208 725005359 966673812 1450010718 1933347624 2900021436 5800042872