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483257040 = 243571791607
BaseRepresentation
bin11100110011011…
…110101011010000
31020200100000000220
4130303132223100
51442203211130
6115541513040
714655421440
oct3463365320
91220300026
10483257040
11228871192
12115a12780
1379172316
1448278120
152c65c410
hex1ccdead0

483257040 has 160 divisors (see below), whose sum is σ = 1722746880. Its totient is φ = 109773312.

The previous prime is 483257017. The next prime is 483257041. The reversal of 483257040 is 40752384.

It is a junction number, because it is equal to n+sod(n) for n = 483256992 and 483257010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483257041) 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, 299917 + ... + 301523.

It is an arithmetic number, because the mean of its divisors is an integer number (10767168).

Almost surely, 2483257040 is an apocalyptic number.

483257040 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 483257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861373440).

483257040 is an abundant number, since it is smaller than the sum of its proper divisors (1239489840).

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

483257040 is a wasteful number, since it uses less digits than its factorization.

483257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 483257040 is about 21983.1080605086. The cubic root of 483257040 is about 784.7404932846.

The spelling of 483257040 in words is "four hundred eighty-three million, two hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 179 210 240 280 336 358 420 537 560 716 840 895 1074 1253 1432 1607 1680 1790 2148 2506 2685 2864 3214 3580 3759 4296 4821 5012 5370 6265 6428 7160 7518 8035 8592 9642 10024 10740 11249 12530 12856 14320 15036 16070 18795 19284 20048 21480 22498 24105 25060 25712 30072 32140 33747 37590 38568 42960 44996 48210 50120 56245 60144 64280 67494 75180 77136 89992 96420 100240 112490 128560 134988 150360 168735 179984 192840 224980 269976 287653 300720 337470 385680 449960 539952 575306 674940 862959 899920 1150612 1349880 1438265 1725918 2013571 2301224 2699760 2876530 3451836 4027142 4314795 4602448 5753060 6040713 6903672 8054284 8629590 10067855 11506120 12081426 13807344 16108568 17259180 20135710 23012240 24162852 30203565 32217136 34518360 40271420 48325704 60407130 69036720 80542840 96651408 120814260 161085680 241628520 483257040