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97217968 = 24171133163
BaseRepresentation
bin1011100101101…
…10110110110000
320202221011222111
411302312312300
5144341433333
613351415104
72260224211
oct562666660
9222834874
1097217968
114a971331
1228684494
13171ab433
14cca9408
1588054cd
hex5cb6db0

97217968 has 40 divisors (see below), whose sum is σ = 201268368. Its totient is φ = 45330432.

The previous prime is 97217963. The next prime is 97217977. The reversal of 97217968 is 86971279.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97217963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29155 + ... + 32317.

Almost surely, 297217968 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 97217968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100634184).

97217968 is an abundant number, since it is smaller than the sum of its proper divisors (104050400).

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

97217968 is a wasteful number, since it uses less digits than its factorization.

97217968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3295 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 97217968 is about 9859.9172410320. The cubic root of 97217968 is about 459.8139890648.

It can be divided in two parts, 9721 and 7968, that added together give a square (17689 = 1332).

The spelling of 97217968 in words is "ninety-seven million, two hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1808 1921 3163 3842 6326 7684 12652 15368 25304 30736 50608 53771 107542 215084 357419 430168 714838 860336 1429676 2859352 5718704 6076123 12152246 24304492 48608984 97217968