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98000838 = 2321323131139
BaseRepresentation
bin1011101011101…
…01111111000110
320211101221212200
411311311333012
5200042011323
613420255330
72266664505
oct565657706
9224357780
1098000838
1150356531
12289a1546
13173c3880
14d03083c
15890c443
hex5d75fc6

98000838 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 28416960.

The previous prime is 98000809. The next prime is 98000873. The reversal of 98000838 is 83800089.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704973 + ... + 705111.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 298000838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98000838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

98000838 is an abundant number, since it is smaller than the sum of its proper divisors (144161082).

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

98000838 is a wasteful number, since it uses less digits than its factorization.

98000838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98000838 is about 9899.5372619128. The cubic root of 98000838 is about 461.0449433333.

The spelling of 98000838 in words is "ninety-eight million, eight hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 131 138 139 207 234 262 278 299 393 414 417 598 786 834 897 1179 1251 1703 1794 1807 2358 2502 2691 3013 3197 3406 3614 5109 5382 5421 6026 6394 9039 9591 10218 10842 15327 16263 18078 18209 19182 27117 28773 30654 32526 36418 39169 41561 54234 54627 57546 78338 83122 109254 117507 124683 163881 235014 236717 249366 327762 352521 374049 418807 473434 705042 710151 748098 837614 1256421 1420302 2130453 2512842 3769263 4260906 5444491 7538526 10888982 16333473 32666946 49000419 98000838