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494875320 = 233531151881
BaseRepresentation
bin11101011111110…
…011001010111000
31021111012021022120
4131133303022320
52003142002240
6121034521240
715156241122
oct3537631270
91244167276
10494875320
11234387175
12119896220
137b6ac644
1449a20212
152d6a4ad0
hex1d7f32b8

494875320 has 128 divisors (see below), whose sum is σ = 1544417280. Its totient is φ = 126720000.

The previous prime is 494875319. The next prime is 494875327. The reversal of 494875320 is 23578494.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494875327) 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, 561280 + ... + 562160.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2494875320 is an apocalyptic number.

494875320 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 494875320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

494875320 is an abundant number, since it is smaller than the sum of its proper divisors (1049541960).

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

494875320 is a wasteful number, since it uses less digits than its factorization.

494875320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 494875320 is about 22245.7933101969. The cubic root of 494875320 is about 790.9795678678.

The spelling of 494875320 in words is "four hundred ninety-four million, eight hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 151 155 186 248 302 310 372 453 465 604 620 744 755 881 906 930 1208 1240 1510 1762 1812 1860 2265 2643 3020 3524 3624 3720 4405 4530 4681 5286 6040 7048 8810 9060 9362 10572 13215 14043 17620 18120 18724 21144 23405 26430 27311 28086 35240 37448 46810 52860 54622 56172 70215 81933 93620 105720 109244 112344 133031 136555 140430 163866 187240 218488 266062 273110 280860 327732 399093 409665 532124 546220 561720 655464 665155 798186 819330 1064248 1092440 1330310 1596372 1638660 1995465 2660620 3192744 3277320 3990930 4123961 5321240 7981860 8247922 12371883 15963720 16495844 20619805 24743766 32991688 41239610 49487532 61859415 82479220 98975064 123718830 164958440 247437660 494875320