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495017880 = 233575311119
BaseRepresentation
bin11101100000010…
…101111110011000
31021111110111212120
4131200111332120
52003211033010
6121041541240
715160403550
oct3540257630
91244414776
10495017880
11234474295
12119944820
137b72c4b6
1449a5a160
152d6d1e70
hex1d815f98

495017880 has 128 divisors (see below), whose sum is σ = 1729382400. Its totient is φ = 111002112.

The previous prime is 495017863. The next prime is 495017881. The reversal of 495017880 is 88710594.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495017881) 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, 38961 + ... + 50079.

It is an arithmetic number, because the mean of its divisors is an integer number (13510800).

Almost surely, 2495017880 is an apocalyptic number.

495017880 is a gapful number since it is divisible by the number (40) 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 495017880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864691200).

495017880 is an abundant number, since it is smaller than the sum of its proper divisors (1234364520).

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

495017880 is a wasteful number, since it uses less digits than its factorization.

495017880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11193 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 495017880 is about 22248.9972807765. The cubic root of 495017880 is about 791.0555137452.

The spelling of 495017880 in words is "four hundred ninety-five million, seventeen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11119 11130 14840 22238 22260 33357 44476 44520 55595 66714 77833 88952 111190 133428 155666 166785 222380 233499 266856 311332 333570 389165 444760 466998 589307 622664 667140 778330 933996 1167495 1178614 1334280 1556660 1767921 1867992 2334990 2357228 2946535 3113320 3535842 4125149 4669980 4714456 5893070 7071684 8250298 8839605 9339960 11786140 12375447 14143368 16500596 17679210 20625745 23572280 24750894 33001192 35358420 41251490 49501788 61877235 70716840 82502980 99003576 123754470 165005960 247508940 495017880