Search a number
-
+
495935244 = 223372113109
BaseRepresentation
bin11101100011110…
…101111100001100
31021120012010021000
4131203311330030
52003424411434
6121113340300
715201244230
oct3543657414
91246163230
10495935244
11234a40542
1211a107690
137b990c0c
1449c185c0
152d813b99
hex1d8f5f0c

495935244 has 96 divisors (see below), whose sum is σ = 1476876800. Its totient is φ = 140978880.

The previous prime is 495935243. The next prime is 495935249. The reversal of 495935244 is 442539594.

495935244 is a `hidden beast` number, since 4 + 9 + 593 + 52 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 495935244.

It is not an unprimeable number, because it can be changed into a prime (495935243) 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 31 ways as a sum of consecutive naturals, for example, 157962 + ... + 161070.

Almost surely, 2495935244 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 495935244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738438400).

495935244 is an abundant number, since it is smaller than the sum of its proper divisors (980941556).

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

495935244 is a wasteful number, since it uses less digits than its factorization.

495935244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3332 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 495935244 is about 22269.6035887485. The cubic root of 495935244 is about 791.5438718845.

The spelling of 495935244 in words is "four hundred ninety-five million, nine hundred thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 211 252 378 422 633 756 844 1266 1477 1899 2532 2954 3109 3798 4431 5697 5908 6218 7596 8862 9327 11394 12436 13293 17724 18654 21763 22788 26586 27981 37308 39879 43526 53172 55962 65289 79758 83943 87052 111924 130578 159516 167886 195867 261156 335772 391734 587601 655999 783468 1175202 1311998 1967997 2350404 2623996 3935994 4591993 5903991 7871988 9183986 11807982 13775979 17711973 18367972 23615964 27551958 35423946 41327937 55103916 70847892 82655874 123983811 165311748 247967622 495935244