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8297968 = 247431723
BaseRepresentation
bin11111101001110111110000
3120121120200011
4133221313300
54111013333
6453504304
7130350220
oct37516760
916546604
108297968
114758428
122942094
131946c53
141160080
15add9cd
hex7e9df0

8297968 has 40 divisors (see below), whose sum is σ = 18812288. Its totient is φ = 3471552.

The previous prime is 8297941. The next prime is 8297977. The reversal of 8297968 is 8697928.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3955 + ... + 5677.

Almost surely, 28297968 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 8297968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406144).

8297968 is an abundant number, since it is smaller than the sum of its proper divisors (10514320).

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

8297968 is a wasteful number, since it uses less digits than its factorization.

8297968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its digits is 435456, while the sum is 49.

The square root of 8297968 is about 2880.6193778422. The cubic root of 8297968 is about 202.4528610492.

The spelling of 8297968 in words is "eight million, two hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 1723 2408 3446 4816 6892 12061 13784 24122 27568 48244 74089 96488 148178 192976 296356 518623 592712 1037246 1185424 2074492 4148984 8297968