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849149520 = 243519316007
BaseRepresentation
bin110010100111001…
…111111001010000
32012011211021011020
4302213033321100
53214340241040
6220132115440
730020436402
oct6247177120
92164737136
10849149520
113a636066a
121b8465b80
13106c0114b
1480ac0b72
154e834cd0
hex329cfe50

849149520 has 160 divisors (see below), whose sum is σ = 2860769280. Its totient is φ = 207567360.

The previous prime is 849149513. The next prime is 849149527. The reversal of 849149520 is 25941948.

It is an interprime number because it is at equal distance from previous prime (849149513) and next prime (849149527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849149527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138357 + ... + 144363.

It is an arithmetic number, because the mean of its divisors is an integer number (17879808).

Almost surely, 2849149520 is an apocalyptic number.

849149520 is a gapful number since it is divisible by the number (80) 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 849149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430384640).

849149520 is an abundant number, since it is smaller than the sum of its proper divisors (2011619760).

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

849149520 is a wasteful number, since it uses less digits than its factorization.

849149520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6073 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 849149520 is about 29140.1702122688. The cubic root of 849149520 is about 946.9521973680.

The spelling of 849149520 in words is "eight hundred forty-nine million, one hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1767 1860 2280 2356 2480 2945 3534 3720 4560 4712 5890 6007 7068 7440 8835 9424 11780 12014 14136 17670 18021 23560 24028 28272 30035 35340 36042 47120 48056 60070 70680 72084 90105 96112 114133 120140 141360 144168 180210 186217 228266 240280 288336 342399 360420 372434 456532 480560 558651 570665 684798 720840 744868 913064 931085 1117302 1141330 1369596 1441680 1489736 1711995 1826128 1862170 2234604 2282660 2739192 2793255 2979472 3423990 3538123 3724340 4469208 4565320 5478384 5586510 6847980 7076246 7448680 8938416 9130640 10614369 11173020 13695960 14152492 14897360 17690615 21228738 22346040 27391920 28304984 35381230 42457476 44692080 53071845 56609968 70762460 84914952 106143690 141524920 169829904 212287380 283049840 424574760 849149520