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4213616 = 241189269
BaseRepresentation
bin10000000100101101110000
321221001222212
4100010231300
52034313431
6230151252
750546411
oct20045560
97831885
104213616
112418830
1214b2528
13b46b84
147b9808
1558372b
hex404b70

4213616 has 40 divisors (see below), whose sum is σ = 9039600. Its totient is φ = 1886720.

The previous prime is 4213609. The next prime is 4213639. The reversal of 4213616 is 6163124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4213591 and 4213600.

It is a congruent number.

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, 15530 + ... + 15798.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 24213616 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 4213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519800).

4213616 is an abundant number, since it is smaller than the sum of its proper divisors (4825984).

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

4213616 is a wasteful number, since it uses less digits than its factorization.

4213616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 4213616 is about 2052.7094290230. The cubic root of 4213616 is about 161.5170292631.

The spelling of 4213616 in words is "four million, two hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 269 356 538 712 979 1076 1424 1958 2152 2959 3916 4304 5918 7832 11836 15664 23672 23941 47344 47882 95764 191528 263351 383056 526702 1053404 2106808 4213616