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495805752 = 233313317557
BaseRepresentation
bin11101100011010…
…110010100111000
31021112221112122000
4131203112110320
52003411241002
6121110501000
715200164551
oct3543262470
91245845560
10495805752
11234962222
1211a064760
137b946cb0
1449bc3328
152d7da61c
hex1d8d6538

495805752 has 128 divisors (see below), whose sum is σ = 1490529600. Its totient is φ = 151801344.

The previous prime is 495805727. The next prime is 495805753. The reversal of 495805752 is 257508594.

It is a junction number, because it is equal to n+sod(n) for n = 495805698 and 495805707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495805753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889858 + ... + 890414.

Almost surely, 2495805752 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 495805752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745264800).

495805752 is an abundant number, since it is smaller than the sum of its proper divisors (994723848).

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

495805752 is a wasteful number, since it uses less digits than its factorization.

495805752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 495805752 is about 22266.6960279248. The cubic root of 495805752 is about 791.4749734261.

The spelling of 495805752 in words is "four hundred ninety-five million, eight hundred five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 317 351 468 557 634 702 936 951 1114 1268 1404 1671 1902 2228 2536 2808 2853 3342 3804 4121 4456 5013 5706 6684 7241 7608 8242 8559 10026 11412 12363 13368 14482 15039 16484 17118 20052 21723 22824 24726 28964 30078 32968 34236 37089 40104 43446 49452 57928 60156 65169 68472 74178 86892 98904 111267 120312 130338 148356 173784 176569 195507 222534 260676 296712 353138 391014 445068 521352 529707 706276 782028 890136 1059414 1412552 1564056 1589121 2118828 2295397 3178242 4237656 4590794 4767363 6356484 6886191 9181588 9534726 12712968 13772382 18363176 19069452 20658573 27544764 38138904 41317146 55089528 61975719 82634292 123951438 165268584 247902876 495805752