Search a number
-
+
97889568 = 25373137127
BaseRepresentation
bin1011101010110…
…10110100100000
320211012022020120
411311122310200
5200024431233
613414040240
72266022220
oct565326440
9224168216
1097889568
115028a977
1228949080
131738502a
14d002080
1588d94b3
hex5d5ad20

97889568 has 192 divisors, whose sum is σ = 313786368. Its totient is φ = 26127360.

The previous prime is 97889563. The next prime is 97889639. The reversal of 97889568 is 86598879.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97889563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770721 + ... + 770847.

It is an arithmetic number, because the mean of its divisors is an integer number (1634304).

Almost surely, 297889568 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 97889568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156893184).

97889568 is an abundant number, since it is smaller than the sum of its proper divisors (215896800).

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

97889568 is a wasteful number, since it uses less digits than its factorization.

97889568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 60.

The square root of 97889568 is about 9893.9157061297. The cubic root of 97889568 is about 460.8703873477.

The spelling of 97889568 in words is "ninety-seven million, eight hundred eighty-nine thousand, five hundred sixty-eight".