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8245286464 = 264310728001
BaseRepresentation
bin1111010110111010…
…10001011001000000
3210021121221221200011
413223131101121000
5113341243131324
63442101034304
7411216531022
oct75335213100
923247857604
108245286464
113551281838
1217213b5994
13a152c523c
145830b8012
15333cecc94
hex1eb751640

8245286464 has 56 divisors (see below), whose sum is σ = 16899319008. Its totient is φ = 3988992000.

The previous prime is 8245286443. The next prime is 8245286471. The reversal of 8245286464 is 4646825428.

It is a super-3 number, since 3×82452864643 (a number of 31 digits) contains 333 as substring.

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, 280464 + ... + 308464.

Almost surely, 28245286464 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 8245286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449659504).

8245286464 is an abundant number, since it is smaller than the sum of its proper divisors (8654032544).

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

8245286464 is a wasteful number, since it uses less digits than its factorization.

8245286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28163 (or 28153 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 49.

The square root of 8245286464 is about 90803.5597540096. The cubic root of 8245286464 is about 2020.2351182063.

The spelling of 8245286464 in words is "eight billion, two hundred forty-five million, two hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 107 172 214 344 428 688 856 1376 1712 2752 3424 4601 6848 9202 18404 28001 36808 56002 73616 112004 147232 224008 294464 448016 896032 1204043 1792064 2408086 2996107 4816172 5992214 9632344 11984428 19264688 23968856 38529376 47937712 77058752 95875424 128832601 191750848 257665202 515330404 1030660808 2061321616 4122643232 8245286464