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4296282144 = 253711252837
BaseRepresentation
bin1000000000001010…
…00001000000100000
3102002102012202010220
410000011001000200
532244322012034
61550152123040
7211315536630
oct40005010040
912072182126
104296282144
111905159400
129ba996480
1353611a1ab
142ca83a6c0
151a229c749
hex100141020

4296282144 has 144 divisors (see below), whose sum is σ = 14167347264. Its totient is φ = 1115896320.

The previous prime is 4296282139. The next prime is 4296282149. The reversal of 4296282144 is 4412826924.

It is an interprime number because it is at equal distance from previous prime (4296282139) and next prime (4296282149).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4296282096 and 4296282105.

It is not an unprimeable number, because it can be changed into a prime (4296282149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54894 + ... + 107730.

It is an arithmetic number, because the mean of its divisors is an integer number (98384356).

Almost surely, 24296282144 is an apocalyptic number.

4296282144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4296282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083673632).

4296282144 is an abundant number, since it is smaller than the sum of its proper divisors (9871065120).

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

4296282144 is a wasteful number, since it uses less digits than its factorization.

4296282144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52879 (or 52860 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 4296282144 is about 65546.0307265055. The cubic root of 4296282144 is about 1625.6645353368.

The spelling of 4296282144 in words is "four billion, two hundred ninety-six million, two hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6776 7392 10164 11616 13552 20328 27104 40656 52837 81312 105674 158511 211348 317022 369859 422696 581207 634044 739718 845392 1109577 1162414 1268088 1479436 1690784 1743621 2219154 2324828 2536176 2958872 3487242 4068449 4438308 4649656 5072352 5917744 6393277 6974484 8136898 8876616 9299312 11835488 12205347 12786554 13948968 16273796 17753232 18598624 19179831 24410694 25573108 27897936 32547592 35506464 38359662 44752939 48821388 51146216 55795872 65095184 76719324 89505878 97642776 102292432 130190368 134258817 153438648 179011756 195285552 204584864 268517634 306877296 358023512 390571104 537035268 613754592 716047024 1074070536 1432094048 2148141072 4296282144