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4875057360 = 2433517132763
BaseRepresentation
bin1001000101001001…
…10111100011010000
3110120202021120111000
410202210313203100
534441003313420
62123425222000
7231544206135
oct44244674320
913522246430
104875057360
11208192a828
12b40791900
135c8cc4034
1434365a58c
151d7ec6690
hex1229378d0

4875057360 has 160 divisors (see below), whose sum is σ = 17779754880. Its totient is φ = 1223534592.

The previous prime is 4875057349. The next prime is 4875057409. The reversal of 4875057360 is 637505784.

4875057360 is a `hidden beast` number, since 4 + 8 + 75 + 0 + 573 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29662 + ... + 103101.

It is an arithmetic number, because the mean of its divisors is an integer number (111123468).

Almost surely, 24875057360 is an apocalyptic number.

4875057360 is a gapful number since it is divisible by the number (40) 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 4875057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889877440).

4875057360 is an abundant number, since it is smaller than the sum of its proper divisors (12904697520).

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

4875057360 is a wasteful number, since it uses less digits than its factorization.

4875057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132802 (or 132790 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4875057360 is about 69821.6109811282. The cubic root of 4875057360 is about 1695.6123717336.

The spelling of 4875057360 in words is "four billion, eight hundred seventy-five million, fifty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 132763 265526 398289 531052 663815 796578 1062104 1194867 1327630 1593156 1991445 2124208 2256971 2389734 2655260 3186312 3584601 3982890 4513942 4779468 5310520 5974335 6372624 6770913 7169202 7965780 9027884 9558936 10621040 11284855 11948670 13541826 14338404 15931560 17923005 18055768 19117872 20312739 22569710 23897340 27083652 28676808 31863120 33854565 35846010 36111536 40625478 45139420 47794680 54167304 57353616 60938217 67709130 71692020 81250956 90278840 95589360 101563695 108334608 121876434 135418260 143384040 162501912 180557680 203127390 243752868 270836520 286768080 304691085 325003824 406254780 487505736 541673040 609382170 812509560 975011472 1218764340 1625019120 2437528680 4875057360