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97598016 = 26322353139
BaseRepresentation
bin1011101000100…
…11101001000000
320210122111022100
411310103221000
5144441114031
613403510400
72263366215
oct564235100
9223574270
1097598016
115010091a
1228828400
13172b2409
14cd67b0c
15887cde6
hex5d13a40

97598016 has 168 divisors, whose sum is σ = 299557440. Its totient is φ = 30311424.

The previous prime is 97597979. The next prime is 97598027. The reversal of 97598016 is 61089579.

It is an unprimeable number.

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, 702075 + ... + 702213.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 297598016 is an apocalyptic number.

97598016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

97598016 is an abundant number, since it is smaller than the sum of its proper divisors (201959424).

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

97598016 is a wasteful number, since it uses less digits than its factorization.

97598016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 97598016 is about 9879.1708154075. The cubic root of 97598016 is about 460.4123838162.

The spelling of 97598016 in words is "ninety-seven million, five hundred ninety-eight thousand, sixteen".