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98434890 = 23258912289
BaseRepresentation
bin1011101110111…
…11111101001010
320212020000021200
411313133331022
5200144404030
613433445030
72303453121
oct567377512
9225200250
1098434890
1150622654
1228b70776
13175162c8
14d104ab8
158995d60
hex5ddff4a

98434890 has 48 divisors (see below), whose sum is σ = 258827400. Its totient is φ = 25952256.

The previous prime is 98434867. The next prime is 98434909. The reversal of 98434890 is 9843489.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78694641 + 19740249 = 8871^2 + 4443^2 .

It is a super-3 number, since 3×984348903 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1866 + ... + 14154.

Almost surely, 298434890 is an apocalyptic number.

98434890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98434890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129413700).

98434890 is an abundant number, since it is smaller than the sum of its proper divisors (160392510).

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

98434890 is a wasteful number, since it uses less digits than its factorization.

98434890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 98434890 is about 9921.4358839837. The cubic root of 98434890 is about 461.7246067738.

The spelling of 98434890 in words is "ninety-eight million, four hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 12289 24578 36867 61445 73734 110601 122890 184335 221202 368670 553005 1093721 1106010 2187442 3281163 5468605 6562326 9843489 10937210 16405815 19686978 32811630 49217445 98434890