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4264942032 = 243313799613
BaseRepresentation
bin1111111000110101…
…1101100111010000
3102000020020111121000
43332031131213100
532213311121112
61543112302000
7210455260221
oct37615354720
912006214530
104264942032
1118994a308a
129b03a1900
1352c796250
142c65dd248
1519e65b7dc
hexfe35d9d0

4264942032 has 160 divisors (see below), whose sum is σ = 13351923200. Its totient is φ = 1295543808.

The previous prime is 4264942013. The next prime is 4264942037. The reversal of 4264942032 is 2302494624.

4264942032 is a `hidden beast` number, since 4 + 2 + 649 + 4 + 2 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264942037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438858 + ... + 448470.

It is an arithmetic number, because the mean of its divisors is an integer number (83449520).

Almost surely, 24264942032 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 4264942032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675961600).

4264942032 is an abundant number, since it is smaller than the sum of its proper divisors (9086981168).

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

4264942032 is a wasteful number, since it uses less digits than its factorization.

4264942032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4264942032 is about 65306.5236557574. The cubic root of 4264942032 is about 1621.7019698599.

It can be divided in two parts, 42649 and 42032, that added together give a square (84681 = 2912).

The spelling of 4264942032 in words is "four billion, two hundred sixty-four million, nine hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 79 104 108 117 144 156 158 208 216 234 237 312 316 351 432 468 474 624 632 702 711 936 948 1027 1264 1404 1422 1872 1896 2054 2133 2808 2844 3081 3792 4108 4266 5616 5688 6162 8216 8532 9243 9613 11376 12324 16432 17064 18486 19226 24648 27729 28839 34128 36972 38452 49296 55458 57678 73944 76904 86517 110916 115356 124969 147888 153808 173034 221832 230712 249938 259551 346068 374907 443664 461424 499876 519102 692136 749814 759427 999752 1038204 1124721 1384272 1499628 1518854 1999504 2076408 2249442 2278281 2999256 3037708 3374163 4152816 4498884 4556562 5998512 6075416 6748326 6834843 8997768 9113124 9872551 12150832 13496652 13669686 17995536 18226248 19745102 20504529 26993304 27339372 29617653 36452496 39490204 41009058 53986608 54678744 59235306 78980408 82018116 88852959 109357488 118470612 157960816 164036232 177705918 236941224 266558877 328072464 355411836 473882448 533117754 710823672 1066235508 1421647344 2132471016 4264942032