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450493686 = 232192357271
BaseRepresentation
bin11010110110011…
…111110011110110
31011101200110011100
4122312133303312
51410311244221
6112411350530
714110063446
oct3266376366
91141613140
10450493686
11211323635
12106a52446
1372440616
1443b8a126
1529839926
hex1ad9fcf6

450493686 has 48 divisors (see below), whose sum is σ = 1072131840. Its totient is φ = 136073520.

The previous prime is 450493669. The next prime is 450493697. The reversal of 450493686 is 686394054.

It is a super-4 number, since 4×4504936864 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20770 + ... + 36501.

It is an arithmetic number, because the mean of its divisors is an integer number (22336080).

Almost surely, 2450493686 is an apocalyptic number.

450493686 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

450493686 is an abundant number, since it is smaller than the sum of its proper divisors (621638154).

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

450493686 is a wasteful number, since it uses less digits than its factorization.

450493686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57321 (or 57318 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 450493686 is about 21224.8365364730. The cubic root of 450493686 is about 766.5895642269.

The spelling of 450493686 in words is "four hundred fifty million, four hundred ninety-three thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2622 3933 7866 57271 114542 171813 343626 515439 1030878 1088149 1317233 2176298 2634466 3264447 3951699 6528894 7903398 9793341 11855097 19586682 23710194 25027427 50054854 75082281 150164562 225246843 450493686