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493629080 = 23576128901
BaseRepresentation
bin11101011011000…
…010111010011000
31021101211221210112
4131123002322120
52002332112310
6120552103452
715142530560
oct3533027230
91241757715
10493629080
1123370591a
12119394b88
137b364319
14497b7da0
152d50a705
hex1d6c2e98

493629080 has 64 divisors (see below), whose sum is σ = 1290185280. Its totient is φ = 166464000.

The previous prime is 493629049. The next prime is 493629107. The reversal of 493629080 is 80926394.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2630 + ... + 31530.

It is an arithmetic number, because the mean of its divisors is an integer number (20159145).

Almost surely, 2493629080 is an apocalyptic number.

493629080 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 493629080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645092640).

493629080 is an abundant number, since it is smaller than the sum of its proper divisors (796556200).

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

493629080 is a wasteful number, since it uses less digits than its factorization.

493629080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28980 (or 28976 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 493629080 is about 22217.7649641002. The cubic root of 493629080 is about 790.3150375204.

The spelling of 493629080 in words is "four hundred ninety-three million, six hundred twenty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 17080 28901 57802 115604 144505 202307 231208 289010 404614 578020 809228 1011535 1156040 1618456 1762961 2023070 3525922 4046140 7051844 8092280 8814805 12340727 14103688 17629610 24681454 35259220 49362908 61703635 70518440 98725816 123407270 246814540 493629080