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495014490 = 23453783199
BaseRepresentation
bin11101100000010…
…101001001011010
31021111110100020000
4131200111021122
52003210430430
6121041513430
715160360635
oct3540251132
91244410200
10495014490
11234471793
12119942876
137b72aaa9
1449a58c1c
152d6d0e60
hex1d81525a

495014490 has 160 divisors (see below), whose sum is σ = 1390435200. Its totient is φ = 126251136.

The previous prime is 495014489. The next prime is 495014497. The reversal of 495014490 is 94410594.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (495014497) 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 79 ways as a sum of consecutive naturals, for example, 2487411 + ... + 2487609.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2495014490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495014490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

495014490 is an abundant number, since it is smaller than the sum of its proper divisors (895420710).

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

495014490 is a wasteful number, since it uses less digits than its factorization.

495014490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 495014490 is about 22248.9210974375. The cubic root of 495014490 is about 791.0537079624.

The spelling of 495014490 in words is "four hundred ninety-five million, fourteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 83 90 111 135 162 166 185 199 222 249 270 333 370 398 405 415 498 555 597 666 747 810 830 995 999 1110 1194 1245 1494 1665 1791 1990 1998 2241 2490 2985 2997 3071 3330 3582 3735 4482 4995 5373 5970 5994 6142 6723 7363 7470 8955 9213 9990 10746 11205 13446 14726 14985 15355 16119 16517 17910 18426 22089 22410 26865 27639 29970 30710 32238 33034 33615 36815 44178 46065 49551 53730 55278 66267 67230 73630 80595 82585 82917 92130 99102 110445 132534 138195 148653 161190 165170 165834 198801 220890 247755 248751 276390 297306 331335 397602 414585 445959 495510 497502 596403 611129 662670 743265 829170 891918 994005 1192806 1222258 1243755 1337877 1486530 1833387 1988010 2229795 2487510 2675754 2982015 3055645 3666774 4459590 5500161 5964030 6111290 6689385 9166935 11000322 13378770 16500483 18333870 27500805 33000966 49501449 55001610 82502415 99002898 165004830 247507245 495014490