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8442064 = 241741757
BaseRepresentation
bin100000001101…
…000011010000
3120212220100001
4200031003100
54130121224
6500535344
7131520301
oct40150320
916786301
108442064
114846714
1229b1554
131997707
14119a7a8
15b1b544
hex80d0d0

8442064 has 40 divisors (see below), whose sum is σ = 17764488. Its totient is φ = 3870720.

The previous prime is 8442059. The next prime is 8442079. The reversal of 8442064 is 4602448.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 7617600 = 908^2 + 2760^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10774 + ... + 11530.

Almost surely, 28442064 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 8442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882244).

8442064 is an abundant number, since it is smaller than the sum of its proper divisors (9322424).

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

8442064 is a wasteful number, since it uses less digits than its factorization.

8442064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 8442064 is about 2905.5230166013. The cubic root of 8442064 is about 203.6180215970.

The spelling of 8442064 in words is "eight million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 757 1394 1514 2788 3028 5576 6056 11152 12112 12869 25738 31037 51476 62074 102952 124148 205904 248296 496592 527629 1055258 2110516 4221032 8442064