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4208768 = 27131251
BaseRepresentation
bin10000000011100010000000
321220211100022
4100003202000
52034140033
6230113012
750526314
oct20034200
97824308
104208768
112415123
1214ab768
13b448c5
147b7b44
15582098
hex403880

4208768 has 32 divisors (see below), whose sum is σ = 8482320. Its totient is φ = 2080000.

The previous prime is 4208761. The next prime is 4208779. The reversal of 4208768 is 8678024.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4208761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16643 + ... + 16893.

Almost surely, 24208768 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 4208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160).

4208768 is an abundant number, since it is smaller than the sum of its proper divisors (4273552).

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

4208768 is a wasteful number, since it uses less digits than its factorization.

4208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 4208768 is about 2051.5282108711. The cubic root of 4208768 is about 161.4550607102.

The spelling of 4208768 in words is "four million, two hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 131 251 262 502 524 1004 1048 2008 2096 4016 4192 8032 8384 16064 16768 32128 32881 65762 131524 263048 526096 1052192 2104384 4208768