Search a number
-
+
482445120 = 26351972551
BaseRepresentation
bin11100110000011…
…000011101000000
31020121210202021210
4130300120131000
51442001220440
6115512250120
714645500353
oct3460303500
91217722253
10482445120
11228367183
121156a0940
1378c498b1
144810629a
152c54ba80
hex1cc18740

482445120 has 112 divisors (see below), whose sum is σ = 1540142208. Its totient is φ = 127948800.

The previous prime is 482445107. The next prime is 482445121. The reversal of 482445120 is 21544284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482445121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 187845 + ... + 190395.

Almost surely, 2482445120 is an apocalyptic number.

482445120 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 482445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770071104).

482445120 is an abundant number, since it is smaller than the sum of its proper divisors (1057697088).

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

482445120 is a wasteful number, since it uses less digits than its factorization.

482445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 482445120 is about 21964.6333909765. The cubic root of 482445120 is about 784.3007661793.

The spelling of 482445120 in words is "four hundred eighty-two million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 197 240 320 394 480 591 788 960 985 1182 1576 1970 2364 2551 2955 3152 3940 4728 5102 5910 6304 7653 7880 9456 10204 11820 12608 12755 15306 15760 18912 20408 23640 25510 30612 31520 37824 38265 40816 47280 51020 61224 63040 76530 81632 94560 102040 122448 153060 163264 189120 204080 244896 306120 408160 489792 502547 612240 816320 1005094 1224480 1507641 2010188 2448960 2512735 3015282 4020376 5025470 6030564 7538205 8040752 10050940 12061128 15076410 16081504 20101880 24122256 30152820 32163008 40203760 48244512 60305640 80407520 96489024 120611280 160815040 241222560 482445120