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494810432 = 26173131453
BaseRepresentation
bin11101011111100…
…011010101000000
31021111001222022022
4131133203111000
52003132413212
6121033301012
715155551004
oct3537432500
91244058268
10494810432
11234342446
12119864768
137b688c4c
1449a04704
152d690772
hex1d7e3540

494810432 has 56 divisors (see below), whose sum is σ = 1043687016. Its totient is φ = 231948288.

The previous prime is 494810423. The next prime is 494810447. The reversal of 494810432 is 234018494.

It can be written as a sum of positive squares in 4 ways, for example, as 114404416 + 380406016 = 10696^2 + 19504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 494810392 and 494810401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339818 + ... + 341270.

Almost surely, 2494810432 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 494810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521843508).

494810432 is an abundant number, since it is smaller than the sum of its proper divisors (548876584).

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

494810432 is a wasteful number, since it uses less digits than its factorization.

494810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 494810432 is about 22244.3348293448. The cubic root of 494810432 is about 790.9449953041.

The spelling of 494810432 in words is "four hundred ninety-four million, eight hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 313 544 626 1088 1252 1453 2504 2906 5008 5321 5812 10016 10642 11624 20032 21284 23248 24701 42568 46496 49402 85136 92992 98804 170272 197608 340544 395216 454789 790432 909578 1580864 1819156 3638312 7276624 7731413 14553248 15462826 29106496 30925652 61851304 123702608 247405216 494810432