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98216928 = 25331931193
BaseRepresentation
bin1011101101010…
…10101111100000
320211210221022000
411312222233200
5200120420203
613425044000
72301554505
oct566525740
9224727260
1098216928
1150493917
1228a86600
131746b034
14d0894ac
1589514a3
hex5daabe0

98216928 has 192 divisors, whose sum is σ = 312883200. Its totient is φ = 29859840.

The previous prime is 98216917. The next prime is 98216933. The reversal of 98216928 is 82961289.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508800 + ... + 508992.

It is an arithmetic number, because the mean of its divisors is an integer number (1629600).

Almost surely, 298216928 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 98216928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156441600).

98216928 is an abundant number, since it is smaller than the sum of its proper divisors (214666272).

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

98216928 is a wasteful number, since it uses less digits than its factorization.

98216928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 98216928 is about 9910.4453986690. The cubic root of 98216928 is about 461.3835597099.

The spelling of 98216928 in words is "ninety-eight million, two hundred sixteen thousand, nine hundred twenty-eight".