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8064435484 = 227212722551
BaseRepresentation
bin1111000001010110…
…11000010100011100
3202211000122202202201
413200223120110130
5113003443413414
63412120501244
7403562366500
oct74053302434
922730582681
108064435484
113469188816
12169091a824
139b69b3c21
1456707c300
15322ec7574
hex1e0ad851c

8064435484 has 54 divisors (see below), whose sum is σ = 16553657736. Its totient is φ = 3427628400.

The previous prime is 8064435481. The next prime is 8064435493. The reversal of 8064435484 is 4845344608.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064435481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3160009 + ... + 3162559.

Almost surely, 28064435484 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 8064435484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276828868).

8064435484 is an abundant number, since it is smaller than the sum of its proper divisors (8489222252).

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

8064435484 is a wasteful number, since it uses less digits than its factorization.

8064435484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The square root of 8064435484 is about 89802.2019997283. The cubic root of 8064435484 is about 2005.3552714021.

The spelling of 8064435484 in words is "eight billion, sixty-four million, four hundred thirty-five thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 508 889 1778 2551 3556 5102 6223 10204 12446 16129 17857 24892 32258 35714 64516 71428 112903 124999 225806 249998 323977 451612 499996 647954 790321 1295908 1580642 2267839 3161284 4535678 9071356 15874873 31749746 41145079 63499492 82290158 164580316 288015553 576031106 1152062212 2016108871 4032217742 8064435484