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490570332 = 2237531011091
BaseRepresentation
bin11101001111011…
…000001001011100
31021012002112222120
4131033120021130
52001041222312
6120402342540
715104531130
oct3517301134
91235075876
10490570332
11231a0682a
1211835aa50
137a833005
144921d3c0
152d10428c
hex1d3d825c

490570332 has 96 divisors (see below), whose sum is σ = 1347300864. Its totient is φ = 136032000.

The previous prime is 490570331. The next prime is 490570361. The reversal of 490570332 is 233075094.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 490570293 and 490570302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490570331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449107 + ... + 450197.

It is an arithmetic number, because the mean of its divisors is an integer number (14034384).

Almost surely, 2490570332 is an apocalyptic number.

490570332 is a gapful number since it is divisible by the number (42) 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 490570332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673650432).

490570332 is an abundant number, since it is smaller than the sum of its proper divisors (856730532).

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

490570332 is a wasteful number, since it uses less digits than its factorization.

490570332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 490570332 is about 22148.8223614710. The cubic root of 490570332 is about 788.6792716216.

The spelling of 490570332 in words is "four hundred ninety million, five hundred seventy thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 101 106 159 202 212 303 318 371 404 606 636 707 742 1091 1113 1212 1414 1484 2121 2182 2226 2828 3273 4242 4364 4452 5353 6546 7637 8484 10706 13092 15274 16059 21412 22911 30548 32118 37471 45822 57823 64236 74942 91644 110191 112413 115646 149884 173469 220382 224826 231292 330573 346938 404761 440764 449652 661146 693876 771337 809522 1214283 1322292 1542674 1619044 2314011 2428566 3085348 4628022 4857132 5840123 9256044 11680246 17520369 23360492 35040738 40880861 70081476 81761722 122642583 163523444 245285166 490570332