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2842246064 = 2471733832
BaseRepresentation
bin1010100101101001…
…0011101110110000
321100002012001121202
42221122103232300
521310103333224
61150011110332
7130301456450
oct25132235660
97302161552
102842246064
111229412599
12673a423a8
13363acc208
141cd69dd60
151197d1eae
hexa9693bb0

2842246064 has 60 divisors (see below), whose sum is σ = 6346494096. Its totient is φ = 1207902336.

The previous prime is 2842246063. The next prime is 2842246093. The reversal of 2842246064 is 4606422482.

2842246064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×28422460643 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2842246063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7420817 + ... + 7421199.

Almost surely, 22842246064 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 2842246064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173247048).

2842246064 is an abundant number, since it is smaller than the sum of its proper divisors (3504248032).

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

2842246064 is an equidigital number, since it uses as much as digits as its factorization.

2842246064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 2842246064 is about 53312.7195329595. The cubic root of 2842246064 is about 1416.5129781941.

The spelling of 2842246064 in words is "two billion, eight hundred forty-two million, two hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 383 692 766 1211 1384 1532 2422 2681 2768 3064 4844 5362 6128 9688 10724 19376 21448 42896 66259 132518 146689 265036 293378 463813 530072 586756 927626 1026823 1060144 1173512 1855252 2053646 2347024 3710504 4107292 7421008 8214584 16429168 25377197 50754394 101508788 177640379 203017576 355280758 406035152 710561516 1421123032 2842246064