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4247712 = 25327343
BaseRepresentation
bin10000001101000010100000
321222210202200
4100031002200
52041411322
6231013200
751051000
oct20150240
97883680
104247712
112441407
12150a200
13b59551
147c8000
1558d8ac
hex40d0a0

4247712 has 144 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1185408.

The previous prime is 4247707. The next prime is 4247729. The reversal of 4247712 is 2177424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98763 + ... + 98805.

It is an arithmetic number, because the mean of its divisors is an integer number (100100).

Almost surely, 24247712 is an apocalyptic number.

4247712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4247712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

4247712 is an abundant number, since it is smaller than the sum of its proper divisors (10166688).

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

4247712 is a wasteful number, since it uses less digits than its factorization.

4247712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 4247712 is about 2060.9978165927. The cubic root of 4247712 is about 161.9515172704.

The spelling of 4247712 in words is "four million, two hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 49 56 63 72 84 86 96 98 112 126 129 144 147 168 172 196 224 252 258 288 294 301 336 343 344 387 392 441 504 516 588 602 672 686 688 774 784 882 903 1008 1029 1032 1176 1204 1372 1376 1548 1568 1764 1806 2016 2058 2064 2107 2352 2408 2709 2744 3087 3096 3528 3612 4116 4128 4214 4704 4816 5418 5488 6174 6192 6321 7056 7224 8232 8428 9632 10836 10976 12348 12384 12642 14112 14448 14749 16464 16856 18963 21672 24696 25284 28896 29498 32928 33712 37926 43344 44247 49392 50568 58996 67424 75852 86688 88494 98784 101136 117992 132741 151704 176988 202272 235984 265482 303408 353976 471968 530964 606816 707952 1061928 1415904 2123856 4247712