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675282816 = 27321367673
BaseRepresentation
bin101000001111111…
…111111110000000
31202001122220212200
4220033333332000
52340333022231
6151001353200
722506544365
oct5017777600
91661586780
10675282816
113171a7a7a
1216a198800
13a9b96b40
146598246c
153e43dbe6
hex283fff80

675282816 has 192 divisors, whose sum is σ = 2127063120. Its totient is φ = 204374016.

The previous prime is 675282791. The next prime is 675282821. The reversal of 675282816 is 618282576.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×6752828163 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003056 + ... + 1003728.

Almost surely, 2675282816 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 675282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063531560).

675282816 is an abundant number, since it is smaller than the sum of its proper divisors (1451780304).

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

675282816 is a wasteful number, since it uses less digits than its factorization.

675282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 758 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 675282816 is about 25986.2043399955. The cubic root of 675282816 is about 877.3278168020.

The spelling of 675282816 in words is "six hundred seventy-five million, two hundred eighty-two thousand, eight hundred sixteen".