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4216064 = 2843383
BaseRepresentation
bin10000000101010100000000
321221012100112
4100011110000
52034403224
6230210452
750556506
oct20052400
97835315
104216064
11241a656
1214b3a28
13b48018
147ba676
1558430e
hex405500

4216064 has 36 divisors (see below), whose sum is σ = 8633856. Its totient is φ = 2053632.

The previous prime is 4216063. The next prime is 4216067. The reversal of 4216064 is 4606124.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4216063) 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, 10817 + ... + 11199.

Almost surely, 24216064 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 4216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316928).

4216064 is an abundant number, since it is smaller than the sum of its proper divisors (4417792).

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

4216064 is an equidigital number, since it uses as much as digits as its factorization.

4216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4216064 is about 2053.3056275187. The cubic root of 4216064 is about 161.5483022553.

It can be divided in two parts, 42160 and 64, that added together give a palindrome (42224).

The spelling of 4216064 in words is "four million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 383 688 766 1376 1532 2752 3064 5504 6128 11008 12256 16469 24512 32938 49024 65876 98048 131752 263504 527008 1054016 2108032 4216064