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97168896 = 29351171
BaseRepresentation
bin1011100101010…
…10111000000000
320202211200200000
411302222320000
5144333401041
613350400000
72256631146
oct562527000
9222750600
1097168896
114a938480
1228660000
1317191cb6
14cc95596
1587e5bb6
hex5caae00

97168896 has 240 divisors, whose sum is σ = 321729408. Its totient is φ = 29030400.

The previous prime is 97168853. The next prime is 97168901. The reversal of 97168896 is 69886179.

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

It is a congruent number.

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, 1368541 + ... + 1368611.

Almost surely, 297168896 is an apocalyptic number.

97168896 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 97168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

97168896 is an abundant number, since it is smaller than the sum of its proper divisors (224560512).

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

97168896 is an equidigital number, since it uses as much as digits as its factorization.

97168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 97168896 is about 9857.4284679119. The cubic root of 97168896 is about 459.7366104002.

The spelling of 97168896 in words is "ninety-seven million, one hundred sixty-eight thousand, eight hundred ninety-six".