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5803210296 = 23321314234357
BaseRepresentation
bin1010110011110010…
…11111011000111000
3112222102202121221200
411121321133120320
543341110212141
62355502534200
7263544321312
oct53171373070
915872677850
105803210296
112508840874
12115b597360
13716396a60
143d0a247b2
1523e714ab6
hex159e5f638

5803210296 has 96 divisors (see below), whose sum is σ = 16941812160. Its totient is φ = 1783938816.

The previous prime is 5803210267. The next prime is 5803210319. The reversal of 5803210296 is 6920123085.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5803210296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329750 + ... + 1334106.

It is an arithmetic number, because the mean of its divisors is an integer number (176477210).

Almost surely, 25803210296 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 5803210296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470906080).

5803210296 is an abundant number, since it is smaller than the sum of its proper divisors (11138601864).

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

5803210296 is a wasteful number, since it uses less digits than its factorization.

5803210296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5803210296 is about 76178.8047687807. The cubic root of 5803210296 is about 1797.0332090670.

The spelling of 5803210296 in words is "five billion, eight hundred three million, two hundred ten thousand, two hundred ninety-six".

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 1423 2846 4269 4357 5692 8538 8714 11384 12807 13071 17076 17428 18499 25614 26142 34152 34856 36998 39213 51228 52284 55497 56641 73996 78426 102456 104568 110994 113282 147992 156852 166491 169923 221988 226564 313704 332982 339846 443976 453128 509769 665964 679692 1019538 1331928 1359384 2039076 4078152 6200011 12400022 18600033 24800044 37200066 49600088 55800099 74400132 80600143 111600198 148800264 161200286 223200396 241800429 322400572 446400792 483600858 644801144 725401287 967201716 1450802574 1934403432 2901605148 5803210296