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4368672 = 2532711197
BaseRepresentation
bin10000101010100100100000
322012221200200
4100222210200
52104244142
6233345200
752063440
oct20524440
98187620
104368672
112514280
121568200
13b9c619
1481a120
155b464c
hex42a920

4368672 has 144 divisors (see below), whose sum is σ = 15567552. Its totient is φ = 1128960.

The previous prime is 4368667. The next prime is 4368691. The reversal of 4368672 is 2768634.

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

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22078 + ... + 22274.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

Almost surely, 24368672 is an apocalyptic number.

4368672 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 4368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776).

4368672 is an abundant number, since it is smaller than the sum of its proper divisors (11198880).

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

4368672 is a wasteful number, since it uses less digits than its factorization.

4368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4368672 is about 2090.1368376257. The cubic root of 4368672 is about 163.4744229553.

The spelling of 4368672 in words is "four million, three hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 197 198 224 231 252 264 288 308 336 352 394 396 462 504 528 591 616 672 693 788 792 924 1008 1056 1182 1232 1379 1386 1576 1584 1773 1848 2016 2167 2364 2464 2758 2772 3152 3168 3546 3696 4137 4334 4728 5516 5544 6304 6501 7092 7392 8274 8668 9456 11032 11088 12411 13002 14184 15169 16548 17336 18912 19503 22064 22176 24822 26004 28368 30338 33096 34672 39006 44128 45507 49644 52008 56736 60676 66192 69344 78012 91014 99288 104016 121352 132384 136521 156024 182028 198576 208032 242704 273042 312048 364056 397152 485408 546084 624096 728112 1092168 1456224 2184336 4368672