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98661888 = 29351361
BaseRepresentation
bin1011110000101…
…11011000000000
320212122112200000
411320113120000
5200224140023
613442400000
72305416663
oct570273000
9225575600
1098661888
1150768156
1229060000
1317595720
14d1636da
1589dd243
hex5e17600

98661888 has 240 divisors, whose sum is σ = 323218896. Its totient is φ = 29859840.

The previous prime is 98661887. The next prime is 98661907. The reversal of 98661888 is 88816689.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98661887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617378 + ... + 1617438.

Almost surely, 298661888 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 98661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161609448).

98661888 is an abundant number, since it is smaller than the sum of its proper divisors (224557008).

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

98661888 is an equidigital number, since it uses as much as digits as its factorization.

98661888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 98661888 is about 9932.8690719248. The cubic root of 98661888 is about 462.0792577802.

The spelling of 98661888 in words is "ninety-eight million, six hundred sixty-one thousand, eight hundred eighty-eight".