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4214672 = 247112311
BaseRepresentation
bin10000000100111110010000
321221010102222
4100010332100
52034332142
6230200212
750552450
oct20047620
97833388
104214672
112419600
1214b3068
13b474b7
147b9d60
15583bd2
hex404f90

4214672 has 60 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 1636800.

The previous prime is 4214671. The next prime is 4214687. The reversal of 4214672 is 2764124.

It is not an unprimeable number, because it can be changed into a prime (4214671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13397 + ... + 13707.

Almost surely, 24214672 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 4214672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

4214672 is an abundant number, since it is smaller than the sum of its proper divisors (6076336).

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

4214672 is a wasteful number, since it uses less digits than its factorization.

4214672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 4214672 is about 2052.9666339227. The cubic root of 4214672 is about 161.5305210586.

Adding to 4214672 its reverse (2764124), we get a palindrome (6978796).

The spelling of 4214672 in words is "four million, two hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 311 484 616 622 847 968 1232 1244 1694 1936 2177 2488 3388 3421 4354 4976 6776 6842 8708 13552 13684 17416 23947 27368 34832 37631 47894 54736 75262 95788 150524 191576 263417 301048 383152 526834 602096 1053668 2107336 4214672