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4014208 = 27112851
BaseRepresentation
bin1111010100000010000000
321112221110101
433110002000
52011423313
6222012144
746056142
oct17240200
97487411
104014208
1122a1a30
121417054
13aa7193
14766c92
155445dd
hex3d4080

4014208 has 32 divisors (see below), whose sum is σ = 8727120. Its totient is φ = 1824000.

The previous prime is 4014203. The next prime is 4014211. The reversal of 4014208 is 8024104.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×40142082 = 32227731734528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014203) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18 + ... + 2833.

Almost surely, 24014208 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 4014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363560).

4014208 is an abundant number, since it is smaller than the sum of its proper divisors (4712912).

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

4014208 is a wasteful number, since it uses less digits than its factorization.

4014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4014208 is about 2003.5488514134. The cubic root of 4014208 is about 158.9278313887.

The spelling of 4014208 in words is "four million, fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2851 5702 11404 22808 31361 45616 62722 91232 125444 182464 250888 364928 501776 1003552 2007104 4014208