Search a number
-
+
495905190 = 235112672039
BaseRepresentation
bin11101100011101…
…110100110100110
31021120010121000220
4131203232212212
52003422431230
6121112545210
715201060504
oct3543564646
91246117026
10495905190
11234a1aa00
1211a0b2206
137b980331
1449c0b674
152d809d10
hex1d8ee9a6

495905190 has 96 divisors (see below), whose sum is σ = 1328382720. Its totient is φ = 118367040.

The previous prime is 495905177. The next prime is 495905219. The reversal of 495905190 is 91509594.

It is a happy number.

It is a super-2 number, since 2×4959051902 = 491843914937872200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 242191 + ... + 244229.

It is an arithmetic number, because the mean of its divisors is an integer number (13837320).

Almost surely, 2495905190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495905190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664191360).

495905190 is an abundant number, since it is smaller than the sum of its proper divisors (832477530).

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

495905190 is a wasteful number, since it uses less digits than its factorization.

495905190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 495905190 is about 22268.9288022572. The cubic root of 495905190 is about 791.5278822028.

The spelling of 495905190 in words is "four hundred ninety-five million, nine hundred five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 121 134 165 201 242 330 335 363 402 605 670 726 737 1005 1210 1474 1815 2010 2039 2211 3630 3685 4078 4422 6117 7370 8107 10195 11055 12234 16214 20390 22110 22429 24321 30585 40535 44858 48642 61170 67287 81070 112145 121605 134574 136613 224290 243210 246719 273226 336435 409839 493438 672870 683065 740157 819678 1233595 1366130 1480314 1502743 2049195 2467190 3005486 3700785 4098390 4508229 7401570 7513715 9016458 15027430 16530173 22541145 33060346 45082290 49590519 82650865 99181038 165301730 247952595 495905190