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490586328 = 233367109311
BaseRepresentation
bin11101001111011…
…100000011011000
31021012010100221000
4131033130003120
52001042230303
6120402545000
715104625561
oct3517340330
91235110830
10490586328
11231a17851
12118368160
137a83a38b
1449225168
152d108da3
hex1d3dc0d8

490586328 has 128 divisors (see below), whose sum is σ = 1400256000. Its totient is φ = 159096960.

The previous prime is 490586311. The next prime is 490586387. The reversal of 490586328 is 823685094.

490586328 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 8 + 632 + 8 = 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, 1577293 + ... + 1577603.

It is an arithmetic number, because the mean of its divisors is an integer number (10939500).

Almost surely, 2490586328 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 490586328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700128000).

490586328 is an abundant number, since it is smaller than the sum of its proper divisors (909669672).

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

490586328 is a wasteful number, since it uses less digits than its factorization.

490586328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 490586328 is about 22149.1834612475. The cubic root of 490586328 is about 788.6878436691.

The spelling of 490586328 in words is "four hundred ninety million, five hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 109 134 201 216 218 268 311 327 402 436 536 603 622 654 804 872 933 981 1206 1244 1308 1608 1809 1866 1962 2412 2488 2616 2799 2943 3618 3732 3924 4824 5598 5886 7236 7303 7464 7848 8397 11196 11772 14472 14606 16794 20837 21909 22392 23544 29212 33588 33899 41674 43818 58424 62511 65727 67176 67798 83348 87636 101697 125022 131454 135596 166696 175272 187533 197181 203394 250044 262908 271192 305091 375066 394362 406788 500088 525816 562599 610182 750132 788724 813576 915273 1125198 1220364 1500264 1577448 1830546 2250396 2271233 2440728 3661092 4500792 4542466 6813699 7322184 9084932 13627398 18169864 20441097 27254796 40882194 54509592 61323291 81764388 122646582 163528776 245293164 490586328