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729802098 = 232232836229
BaseRepresentation
bin101011011111111…
…110010101110010
31212212020210021100
4223133332111302
52443312131343
6200230105230
724041133624
oct5337762562
91785223240
10729802098
11344a55133
121844ab216
13b827527c
146ccd4c14
154410c9d3
hex2b7fe572

729802098 has 48 divisors (see below), whose sum is σ = 1656083520. Its totient is φ = 231831072.

The previous prime is 729802069. The next prime is 729802133. The reversal of 729802098 is 890208927.

It is a super-2 number, since 2×7298020982 = 1065222204490403208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114048 + ... + 120276.

It is an arithmetic number, because the mean of its divisors is an integer number (34501740).

Almost surely, 2729802098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729802098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828041760).

729802098 is an abundant number, since it is smaller than the sum of its proper divisors (926281422).

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

729802098 is a wasteful number, since it uses less digits than its factorization.

729802098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 729802098 is about 27014.8495831459. The cubic root of 729802098 is about 900.3299604957.

It can be divided in two parts, 72980 and 2098, that added together give a triangular number (75078 = T387).

The spelling of 729802098 in words is "seven hundred twenty-nine million, eight hundred two thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 283 414 566 849 1698 2547 5094 6229 6509 12458 13018 18687 19527 37374 39054 56061 58581 112122 117162 143267 286534 429801 859602 1289403 1762807 2578806 3525614 5288421 10576842 15865263 31730526 40544561 81089122 121633683 243267366 364901049 729802098