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494451342 = 2327111791993
BaseRepresentation
bin11101011110001…
…011101010001110
31021110101201201200
4131132023222032
52003034420332
6121021450330
715152524050
oct3536135216
91243351650
10494451342
11234117680
121197109a6
137b591678
144994d8d0
152d61e17c
hex1d78ba8e

494451342 has 96 divisors (see below), whose sum is σ = 1343796480. Its totient is φ = 127647360.

The previous prime is 494451323. The next prime is 494451343. The reversal of 494451342 is 243154494.

It is a junction number, because it is equal to n+sod(n) for n = 494451297 and 494451306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494451343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247098 + ... + 249090.

It is an arithmetic number, because the mean of its divisors is an integer number (13997880).

Almost surely, 2494451342 is an apocalyptic number.

494451342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 494451342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671898240).

494451342 is an abundant number, since it is smaller than the sum of its proper divisors (849345138).

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

494451342 is a wasteful number, since it uses less digits than its factorization.

494451342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2195 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 494451342 is about 22236.2618710969. The cubic root of 494451342 is about 790.7536161729.

The spelling of 494451342 in words is "four hundred ninety-four million, four hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 179 198 231 358 462 537 693 1074 1253 1386 1611 1969 1993 2506 3222 3759 3938 3986 5907 5979 7518 11277 11814 11958 13783 13951 17721 17937 21923 22554 27566 27902 35442 35874 41349 41853 43846 65769 82698 83706 124047 125559 131538 153461 197307 248094 251118 306922 356747 394614 460383 713494 920766 1070241 1381149 2140482 2497229 2762298 3210723 3924217 4994458 6421446 7491687 7848434 11772651 14983374 22475061 23545302 27469519 35317953 44950122 54939038 70635906 82408557 164817114 247225671 494451342