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484328240 = 245111983349
BaseRepresentation
bin11100110111100…
…100001100110000
31020202100102102222
4130313210030300
51442442000430
6120020500212
715000502454
oct3467441460
91222312388
10484328240
11229432a80
1211624a668
1379458a76
1448476664
152c7be9e5
hex1cde4330

484328240 has 160 divisors (see below), whose sum is σ = 1312416000. Its totient is φ = 164367360.

The previous prime is 484328237. The next prime is 484328263. The reversal of 484328240 is 42823484.

It is a happy number.

It is a super-2 number, since 2×4843282402 = 469147688122995200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 484328240.

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, 1387586 + ... + 1387934.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2484328240 is an apocalyptic number.

484328240 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 484328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208000).

484328240 is an abundant number, since it is smaller than the sum of its proper divisors (828087760).

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

484328240 is a wasteful number, since it uses less digits than its factorization.

484328240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 484328240 is about 22007.4587356196. The cubic root of 484328240 is about 785.3198907217.

The spelling of 484328240 in words is "four hundred eighty-four million, three hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 83 88 95 110 152 166 176 190 209 220 304 332 349 380 415 418 440 664 698 760 830 836 880 913 1045 1328 1396 1520 1577 1660 1672 1745 1826 2090 2792 3154 3320 3344 3490 3652 3839 4180 4565 5584 6308 6631 6640 6980 7304 7678 7885 8360 9130 12616 13262 13960 14608 15356 15770 16720 17347 18260 19195 25232 26524 27920 28967 30712 31540 33155 34694 36520 38390 53048 57934 61424 63080 66310 69388 72941 73040 76780 86735 106096 115868 126160 132620 138776 144835 145882 153560 173470 231736 265240 277552 289670 291764 307120 318637 346940 364705 463472 530480 550373 579340 583528 637274 693880 729410 1100746 1158680 1167056 1274548 1387760 1458820 1593185 2201492 2317360 2549096 2751865 2917640 3186370 4402984 5098192 5503730 5835280 6054103 6372740 8805968 11007460 12108206 12745480 22014920 24216412 25490960 30270515 44029840 48432824 60541030 96865648 121082060 242164120 484328240