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492938628 = 2237213591093
BaseRepresentation
bin11101011000011…
…010010110000100
31021100112212200020
4131120122112010
52002143014003
6120525215140
715133623600
oct3530322604
91240485606
10492938628
112332840a6
121191014b0
137b181c80
1449678500
152d420d53
hex1d61a584

492938628 has 144 divisors (see below), whose sum is σ = 1466660160. Its totient is φ = 127685376.

The previous prime is 492938617. The next prime is 492938629. The reversal of 492938628 is 826839294.

It is not an unprimeable number, because it can be changed into a prime (492938629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450450 + ... + 451542.

It is an arithmetic number, because the mean of its divisors is an integer number (10185140).

Almost surely, 2492938628 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 492938628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733330080).

492938628 is an abundant number, since it is smaller than the sum of its proper divisors (973721532).

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

492938628 is a wasteful number, since it uses less digits than its factorization.

492938628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1177 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 492938628 is about 22202.2212402273. The cubic root of 492938628 is about 789.9463874315.

The spelling of 492938628 in words is "four hundred ninety-two million, nine hundred thirty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 59 78 84 91 98 118 147 156 177 182 196 236 273 294 354 364 413 546 588 637 708 767 826 1092 1093 1239 1274 1534 1652 1911 2186 2301 2478 2548 2891 3068 3279 3822 4372 4602 4956 5369 5782 6558 7644 7651 8673 9204 10738 11564 13116 14209 15302 16107 17346 21476 22953 28418 30604 32214 34692 37583 42627 45906 53557 56836 64428 64487 75166 85254 91812 99463 107114 112749 128974 150332 160671 170508 193461 198926 214228 225498 257948 298389 321342 386922 397852 450996 451409 596778 642684 696241 773844 838331 902818 1193556 1354227 1392482 1676662 1805636 2088723 2514993 2708454 2784964 3159863 3353324 4177446 5029986 5416908 5868317 6319726 8354892 9479589 10059972 11736634 12639452 17604951 18959178 23473268 35209902 37918356 41078219 70419804 82156438 123234657 164312876 246469314 492938628