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642062016 = 26322514441
BaseRepresentation
bin100110010001010…
…001011011000000
31122202011010111200
4212101101123000
52303331441031
6143413341200
721624302631
oct4621213300
91582133450
10642062016
112aa477772
1215b037800
13a3034b6b
14613b5888
153b57a8e6
hex264516c0

642062016 has 84 divisors (see below), whose sum is σ = 1848102984. Its totient is φ = 213120000.

The previous prime is 642062011. The next prime is 642062039. The reversal of 642062016 is 610260246.

It is a happy number.

642062016 is a `hidden beast` number, since 6 + 4 + 20 + 620 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (642062011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142356 + ... + 146796.

It is an arithmetic number, because the mean of its divisors is an integer number (22001226).

Almost surely, 2642062016 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 642062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924051492).

642062016 is an abundant number, since it is smaller than the sum of its proper divisors (1206040968).

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

642062016 is a wasteful number, since it uses less digits than its factorization.

642062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 642062016 is about 25338.9426772310. The cubic root of 642062016 is about 862.6984002314.

The spelling of 642062016 in words is "six hundred forty-two million, sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 251 288 502 576 753 1004 1506 2008 2259 3012 4016 4441 4518 6024 8032 8882 9036 12048 13323 16064 17764 18072 24096 26646 35528 36144 39969 48192 53292 71056 72288 79938 106584 142112 144576 159876 213168 284224 319752 426336 639504 852672 1114691 1279008 2229382 2558016 3344073 4458764 6688146 8917528 10032219 13376292 17835056 20064438 26752584 35670112 40128876 53505168 71340224 80257752 107010336 160515504 214020672 321031008 642062016