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4394451460 = 2257127439563
BaseRepresentation
bin1000001011110111…
…00000001000000100
3102100020221021010111
410011323200020010
532444434421320
62004020202404
7213620135560
oct40573401004
912306837114
104394451460
11195560a473
12a27839404
1355056c649
142d98b26a0
151aabdea5a
hex105ee0204

4394451460 has 96 divisors (see below), whose sum is σ = 10672865280. Its totient is φ = 1488751488.

The previous prime is 4394451443. The next prime is 4394451497. The reversal of 4394451460 is 641544934.

It is a super-2 number, since 2×43944514602 = 38622407268592263200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7805139 + ... + 7805701.

It is an arithmetic number, because the mean of its divisors is an integer number (111175680).

Almost surely, 24394451460 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 4394451460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336432640).

4394451460 is an abundant number, since it is smaller than the sum of its proper divisors (6278413820).

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

4394451460 is a wasteful number, since it uses less digits than its factorization.

4394451460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 4394451460 is about 66290.6589196397. The cubic root of 4394451460 is about 1637.9534580071.

The spelling of 4394451460 in words is "four billion, three hundred ninety-four million, four hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 439 508 563 635 878 889 1126 1270 1756 1778 2195 2252 2540 2815 3073 3556 3941 4390 4445 5630 6146 7882 8780 8890 11260 12292 15365 15764 17780 19705 30730 39410 55753 61460 71501 78820 111506 143002 223012 247157 278765 286004 357505 390271 494314 500507 557530 715010 780542 988628 1001014 1115060 1235785 1430020 1561084 1730099 1951355 2002028 2471570 2502535 3460198 3902710 4943140 5005070 6920396 7805420 8650495 10010140 17300990 31388939 34601980 62777878 125555756 156944695 219722573 313889390 439445146 627778780 878890292 1098612865 2197225730 4394451460