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495997542 = 232175983331
BaseRepresentation
bin11101100100000…
…101001001100110
31021120022021201100
4131210011021212
52003433410132
6121114540530
715201623655
oct3544051146
91246267640
10495997542
11234a83327
1211a137746
137b9b3391
1449c3319c
152d82737c
hex1d905266

495997542 has 96 divisors (see below), whose sum is σ = 1174642560. Its totient is φ = 150670080.

The previous prime is 495997519. The next prime is 495997549. The reversal of 495997542 is 245799594.

495997542 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 97 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495997549) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1498317 + ... + 1498647.

It is an arithmetic number, because the mean of its divisors is an integer number (12235860).

Almost surely, 2495997542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495997542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587321280).

495997542 is an abundant number, since it is smaller than the sum of its proper divisors (678645018).

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

495997542 is a wasteful number, since it uses less digits than its factorization.

495997542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 495997542 is about 22271.0022675227. The cubic root of 495997542 is about 791.5770143402.

The spelling of 495997542 in words is "four hundred ninety-five million, nine hundred ninety-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 59 83 102 118 153 166 177 249 306 331 354 498 531 662 747 993 1003 1062 1411 1494 1986 2006 2822 2979 3009 4233 4897 5627 5958 6018 8466 9027 9794 11254 12699 14691 16881 18054 19529 25398 27473 29382 33762 39058 44073 50643 54946 58587 82419 83249 88146 101286 117174 164838 166498 175761 247257 249747 331993 351522 467041 494514 499494 663986 749241 934082 995979 1401123 1498482 1620907 1991958 2802246 2987937 3241814 4203369 4862721 5975874 8406738 9725442 14588163 27555419 29176326 55110838 82666257 165332514 247998771 495997542