Search a number
-
+
495064944 = 243211535897
BaseRepresentation
bin11101100000100…
…001011101110000
31021111112220102200
4131200201131300
52003214034234
6121042543200
715160661013
oct3540413560
91244486380
10495064944
112344a6690
12119967b00
137b747a4a
1449a6d37a
152d6e0d99
hex1d821770

495064944 has 120 divisors (see below), whose sum is σ = 1540227312. Its totient is φ = 147164160.

The previous prime is 495064919. The next prime is 495064963. The reversal of 495064944 is 449460594.

It is a self number, because there is not a number n which added to its sum of digits gives 495064944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81004 + ... + 86900.

Almost surely, 2495064944 is an apocalyptic number.

495064944 is a gapful number since it is divisible by the number (44) 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 495064944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770113656).

495064944 is an abundant number, since it is smaller than the sum of its proper divisors (1045162368).

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

495064944 is a wasteful number, since it uses less digits than its factorization.

495064944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5966 counting only the distinct ones).

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

The square root of 495064944 is about 22250.0549212805. The cubic root of 495064944 is about 791.0805829116.

The spelling of 495064944 in words is "four hundred ninety-five million, sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 477 528 583 636 792 848 954 1166 1272 1584 1749 1908 2332 2544 3498 3816 4664 5247 5897 6996 7632 9328 10494 11794 13992 17691 20988 23588 27984 35382 41976 47176 53073 64867 70764 83952 94352 106146 129734 141528 194601 212292 259468 283056 312541 389202 424584 518936 583803 625082 778404 849168 937623 1037872 1167606 1250164 1556808 1875246 2335212 2500328 2812869 3113616 3437951 3750492 4670424 5000656 5625738 6875902 7500984 9340848 10313853 11251476 13751804 15001968 20627706 22502952 27503608 30941559 41255412 45005904 55007216 61883118 82510824 123766236 165021648 247532472 495064944