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4264232364 = 223474094597
BaseRepresentation
bin1111111000101011…
…0000010110101100
3102000011220110010000
43332022300112230
532213120413424
61543045144300
7210446243220
oct37612602654
912004813100
104264232364
111899058987
129b00bb090
1352c5a8222
142c6496780
1519e56b3c9
hexfe2b05ac

4264232364 has 120 divisors (see below), whose sum is σ = 12773979680. Its totient is φ = 1215108864.

The previous prime is 4264232363. The next prime is 4264232387. The reversal of 4264232364 is 4632324624.

4264232364 is a `hidden beast` number, since 4 + 2 + 64 + 232 + 364 = 666.

It is a super-3 number, since 3×42642323643 (a number of 30 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (4264232363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 925314 + ... + 929910.

Almost surely, 24264232364 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 4264232364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386989840).

4264232364 is an abundant number, since it is smaller than the sum of its proper divisors (8509747316).

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

4264232364 is a wasteful number, since it uses less digits than its factorization.

4264232364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5018 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 4264232364 is about 65301.0900674713. The cubic root of 4264232364 is about 1621.6120167942.

Adding to 4264232364 its reverse (4632324624), we get a palindrome (8896556988).

The spelling of 4264232364 in words is "four billion, two hundred sixty-four million, two hundred thirty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 409 567 756 818 1134 1227 1636 2268 2454 2863 3681 4597 4908 5726 7362 8589 9194 11043 11452 13791 14724 17178 18388 22086 25767 27582 32179 33129 34356 41373 44172 51534 55164 64358 66258 77301 82746 96537 103068 124119 128716 132516 154602 165492 193074 231903 248238 289611 309204 372357 386148 463806 496476 579222 744714 868833 927612 1158444 1489428 1737666 1880173 2606499 3475332 3760346 5212998 5640519 7520692 10425996 11281038 13161211 16921557 22562076 26322422 33843114 39483633 50764671 52644844 67686228 78967266 101529342 118450899 152294013 157934532 203058684 236901798 304588026 355352697 473803596 609176052 710705394 1066058091 1421410788 2132116182 4264232364