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490928472 = 233329181433
BaseRepresentation
bin11101010000101…
…111100101011000
31021012202202021000
4131100233211120
52001134202342
6120414145000
715110552226
oct3520574530
91235682230
10490928472
11232130911
121184b2160
137a92a028
14492b3b16
152d17544c
hex1d42f958

490928472 has 128 divisors (see below), whose sum is σ = 1421784000. Its totient is φ = 156764160.

The previous prime is 490928467. The next prime is 490928513. The reversal of 490928472 is 274829094.

490928472 is a `hidden beast` number, since 4 + 90 + 92 + 8 + 472 = 666.

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, 1133568 + ... + 1134000.

Almost surely, 2490928472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490928472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892000).

490928472 is an abundant number, since it is smaller than the sum of its proper divisors (930855528).

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

490928472 is a wasteful number, since it uses less digits than its factorization.

490928472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 490928472 is about 22156.9057406489. The cubic root of 490928472 is about 788.8711495699.

The spelling of 490928472 in words is "four hundred ninety million, nine hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 181 216 232 261 348 362 433 522 543 696 724 783 866 1044 1086 1299 1448 1566 1629 1732 2088 2172 2598 3132 3258 3464 3897 4344 4887 5196 5249 6264 6516 7794 9774 10392 10498 11691 12557 13032 15588 15747 19548 20996 23382 25114 31176 31494 37671 39096 41992 46764 47241 50228 62988 75342 78373 93528 94482 100456 113013 125976 141723 150684 156746 188964 226026 235119 283446 301368 313492 339039 377928 452052 470238 566892 626984 678078 705357 904104 940476 1133784 1356156 1410714 1880952 2116071 2272817 2712312 2821428 4232142 4545634 5642856 6818451 8464284 9091268 13636902 16928568 18182536 20455353 27273804 40910706 54547608 61366059 81821412 122732118 163642824 245464236 490928472