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4433245376 = 267194112703
BaseRepresentation
bin1000010000011110…
…11111010011000000
3102102221221012101012
410020033133103000
533034402323001
62011523500052
7214600651430
oct41017372300
912387835335
104433245376
1119754a695a
12a38827628
13558603221
14300ad02c0
151ae3042bb
hex1083df4c0

4433245376 has 112 divisors (see below), whose sum is σ = 10842101760. Its totient is φ = 1755924480.

The previous prime is 4433245361. The next prime is 4433245379. The reversal of 4433245376 is 6735423344.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (4433245379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342641 + ... + 355343.

It is an arithmetic number, because the mean of its divisors is an integer number (96804480).

Almost surely, 24433245376 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 4433245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421050880).

4433245376 is an abundant number, since it is smaller than the sum of its proper divisors (6408856384).

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

4433245376 is a wasteful number, since it uses less digits than its factorization.

4433245376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12772 counting only the distinct ones).

The product of its digits is 725760, while the sum is 41.

The square root of 4433245376 is about 66582.6206753684. The cubic root of 4433245376 is about 1642.7592574564.

The spelling of 4433245376 in words is "four billion, four hundred thirty-three million, two hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 82 112 133 152 164 224 266 287 304 328 448 532 574 608 656 779 1064 1148 1216 1312 1558 2128 2296 2624 3116 4256 4592 5453 6232 8512 9184 10906 12464 12703 18368 21812 24928 25406 43624 49856 50812 87248 88921 101624 174496 177842 203248 241357 348992 355684 406496 482714 520823 711368 812992 965428 1041646 1422736 1689499 1930856 2083292 2845472 3378998 3645761 3861712 4166584 5690944 6757996 7291522 7723424 8333168 9895637 13515992 14583044 15446848 16666336 19791274 27031984 29166088 33332672 39582548 54063968 58332176 69269459 79165096 108127936 116664352 138538918 158330192 233328704 277077836 316660384 554155672 633320768 1108311344 2216622688 4433245376