Search a number
4211616 = 253192309
BaseRepresentation
bin10000000100001110100000
321220222020210
4100010032200
52034232431
6230134120
750540523
oct20041640
97828223
104211616
112417282
1214b1340
13b45ca6
147b8bba
15582d46
hex4043a0

4211616 has 48 divisors (see below), whose sum is σ = 11642400. Its totient is φ = 1329408.

The previous prime is 4211609. The next prime is 4211633. The reversal of 4211616 is 6161124.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 4211592 and 4211601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 24211616 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 4211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200).

4211616 is an abundant number, since it is smaller than the sum of its proper divisors (7430784).

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

4211616 is a wasteful number, since it uses less digits than its factorization.

4211616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 4211616 is about 2052.2222101907. Note that the first 4 decimals coincide. The cubic root of 4211616 is about 161.4914704413.

The spelling of 4211616 in words is "four million, two hundred eleven thousand, six hundred sixteen".