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492733368 = 23345314347
BaseRepresentation
bin11101010111101…
…000001110111000
31021100011110010000
4131113220032320
52002114431433
6120520553000
715132110301
oct3527501670
91240143100
10492733368
11233153966
12119022760
137b10c70a
14496237a8
152d3d0113
hex1d5e83b8

492733368 has 80 divisors (see below), whose sum is σ = 1406247480. Its totient is φ = 161134272.

The previous prime is 492733363. The next prime is 492733369. The reversal of 492733368 is 863337294.

492733368 is a `hidden beast` number, since 49 + 273 + 336 + 8 = 666.

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 not an unprimeable number, because it can be changed into a prime (492733361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27171 + ... + 41517.

Almost surely, 2492733368 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 492733368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703123740).

492733368 is an abundant number, since it is smaller than the sum of its proper divisors (913514112).

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

492733368 is a wasteful number, since it uses less digits than its factorization.

492733368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14418 (or 14405 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 492733368 is about 22197.5982484592. The cubic root of 492733368 is about 789.8367274609.

The spelling of 492733368 in words is "four hundred ninety-two million, seven hundred thirty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 14347 17172 28694 34344 43041 57388 86082 114776 129123 172164 258246 344328 387369 516492 760391 774738 1032984 1162107 1520782 1549476 2281173 2324214 3041564 3098952 4562346 4648428 6083128 6843519 9124692 9296856 13687038 18249384 20530557 27374076 41061114 54748152 61591671 82122228 123183342 164244456 246366684 492733368