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4286384116 = 2271953281541
BaseRepresentation
bin1111111101111101…
…0000011111110100
3102001201120212121021
43333133100133310
532234303242431
61545200030524
7211135443460
oct37737203764
912051525537
104286384116
1118aa608913
129b7602444
13534062b81
142c93c14a0
151a1494b11
hexff7d07f4

4286384116 has 96 divisors (see below), whose sum is σ = 9244005120. Its totient is φ = 1698278400.

The previous prime is 4286384111. The next prime is 4286384153. The reversal of 4286384116 is 6114836824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286384111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7922806 + ... + 7923346.

It is an arithmetic number, because the mean of its divisors is an integer number (96291720).

Almost surely, 24286384116 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 4286384116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622002560).

4286384116 is an abundant number, since it is smaller than the sum of its proper divisors (4957621004).

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

4286384116 is a wasteful number, since it uses less digits than its factorization.

4286384116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 4286384116 is about 65470.4827842288. The cubic root of 4286384116 is about 1624.4151414482.

The spelling of 4286384116 in words is "four billion, two hundred eighty-six million, three hundred eighty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 266 281 371 532 541 562 742 1007 1082 1124 1484 1967 2014 2164 3787 3934 4028 5339 7049 7574 7868 10279 10678 14098 14893 15148 20558 21356 28196 28673 29786 37373 41116 57346 59572 71953 74746 104251 114692 143906 149492 152021 200711 208502 282967 287812 304042 401422 417004 544787 565934 608084 802844 1064147 1089574 1131868 1980769 2128294 2179148 2888399 3813509 3961538 4256588 5776798 7627018 7923076 8057113 11553596 15254036 16114226 20218793 32228452 40437586 56399791 80875172 112799582 153085147 225599164 306170294 612340588 1071596029 2143192058 4286384116