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4249131282 = 23211375231109
BaseRepresentation
bin1111110101000100…
…1001100100010010
3101222010111020022200
43331101021210102
532200234200112
61541345344030
7210204006564
oct37521114422
911863436280
104249131282
111890584250
129a7038016
1352941b886
142c4485334
1519d086cdc
hexfd449912

4249131282 has 96 divisors (see below), whose sum is σ = 10343885760. Its totient is φ = 1249292160.

The previous prime is 4249131277. The next prime is 4249131311. The reversal of 4249131282 is 2821319424.

4249131282 is a `hidden beast` number, since 4 + 249 + 131 + 282 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3830944 + ... + 3832052.

It is an arithmetic number, because the mean of its divisors is an integer number (107748810).

Almost surely, 24249131282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4249131282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171942880).

4249131282 is an abundant number, since it is smaller than the sum of its proper divisors (6094754478).

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

4249131282 is a wasteful number, since it uses less digits than its factorization.

4249131282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1685 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4249131282 is about 65185.3609486056. The cubic root of 4249131282 is about 1619.6955280560.

It can be divided in two parts, 4249 and 131282, that added together give a palindrome (135531).

The spelling of 4249131282 in words is "four billion, two hundred forty-nine million, one hundred thirty-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 523 666 814 1046 1109 1221 1569 2218 2442 3138 3327 3663 4707 5753 6654 7326 9414 9981 11506 12199 17259 19351 19962 24398 34518 36597 38702 41033 51777 58053 73194 82066 103554 109791 116106 123099 174159 212861 219582 246198 348318 369297 425722 451363 580007 638583 738594 902726 1160014 1277166 1354089 1740021 1915749 2708178 3480042 3831498 4062267 5220063 6380077 8124534 10440126 12760154 19140231 21460259 38280462 42920518 57420693 64380777 114841386 128761554 193142331 236062849 386284662 472125698 708188547 1416377094 2124565641 4249131282