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486833130 = 2325721011093
BaseRepresentation
bin11101000001000…
…111101111101010
31020221001200111200
4131001013233222
51444112130010
6120150305030
715031004400
oct3501075752
91227050450
10486833130
1122a893a33
12117058176
1379b24c54
1448929470
152cb16cc0
hex1d047bea

486833130 has 144 divisors (see below), whose sum is σ = 1488360744. Its totient is φ = 110073600.

The previous prime is 486833129. The next prime is 486833141. The reversal of 486833130 is 31338684.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 474237729 + 12595401 = 21777^2 + 3549^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444864 + ... + 445956.

Almost surely, 2486833130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486833130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744180372).

486833130 is an abundant number, since it is smaller than the sum of its proper divisors (1001527614).

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

486833130 is a wasteful number, since it uses less digits than its factorization.

486833130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 486833130 is about 22064.2953660433. The cubic root of 486833130 is about 786.6714248092.

The spelling of 486833130 in words is "four hundred eighty-six million, eight hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 101 105 126 147 202 210 245 294 303 315 441 490 505 606 630 707 735 882 909 1010 1093 1414 1470 1515 1818 2121 2186 2205 3030 3279 3535 4242 4410 4545 4949 5465 6363 6558 7070 7651 9090 9837 9898 10605 10930 12726 14847 15302 16395 19674 21210 22953 24745 29694 31815 32790 38255 44541 45906 49185 49490 53557 63630 68859 74235 76510 89082 98370 107114 110393 114765 137718 148470 160671 220786 222705 229530 267785 321342 331179 344295 445410 482013 535570 551965 662358 688590 772751 803355 964026 993537 1103930 1545502 1606710 1655895 1987074 2318253 2410065 3311790 3863755 4636506 4820130 4967685 5409257 6954759 7727510 9935370 10818514 11591265 13909518 16227771 23182530 27046285 32455542 34773795 48683313 54092570 69547590 81138855 97366626 162277710 243416565 486833130