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4216896 = 26327321
BaseRepresentation
bin10000000101100001000000
321221020111100
4100011201000
52034420041
6230214400
750562105
oct20054100
97836440
104216896
112420242
1214b4400
13b48508
147baaac
155846b6
hex405840

4216896 has 42 divisors (see below), whose sum is σ = 12088622. Its totient is φ = 1405440.

The previous prime is 4216871. The next prime is 4216897. The reversal of 4216896 is 6986124.

4216896 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 2073600 = 1464^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4216896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4216897) 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 5 ways as a sum of consecutive naturals, for example, 3085 + ... + 4236.

Almost surely, 24216896 is an apocalyptic number.

It is an amenable number.

4216896 is an abundant number, since it is smaller than the sum of its proper divisors (7871726).

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

4216896 is a wasteful number, since it uses less digits than its factorization.

4216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7326 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4216896 is about 2053.5082176607. The cubic root of 4216896 is about 161.5589282283.

The spelling of 4216896 in words is "four million, two hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 7321 14642 21963 29284 43926 58568 65889 87852 117136 131778 175704 234272 263556 351408 468544 527112 702816 1054224 1405632 2108448 4216896