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495349140 = 2235111324441
BaseRepresentation
bin11101100001100…
…110110110010100
31021112002100021110
4131201212312110
52003302133030
6121053015020
715163253406
oct3541466624
91245070243
10495349140
11234680160
12119a84470
137b817200
1449b04b76
152d74a1b0
hex1d866d94

495349140 has 144 divisors (see below), whose sum is σ = 1638778176. Its totient is φ = 110822400.

The previous prime is 495349139. The next prime is 495349163. The reversal of 495349140 is 41943594.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109320 + ... + 113760.

It is an arithmetic number, because the mean of its divisors is an integer number (11380404).

Almost surely, 2495349140 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 495349140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819389088).

495349140 is an abundant number, since it is smaller than the sum of its proper divisors (1143429036).

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

495349140 is a wasteful number, since it uses less digits than its factorization.

495349140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 495349140 is about 22256.4404162031. The cubic root of 495349140 is about 791.2319293383.

The spelling of 495349140 in words is "four hundred ninety-five million, three hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 4441 5070 5577 7436 8580 8882 9295 10140 11154 13323 17764 18590 22205 22308 26646 27885 37180 44410 48851 53292 55770 57733 66615 88820 97702 111540 115466 133230 146553 173199 195404 230932 244255 266460 288665 293106 346398 488510 577330 586212 635063 692796 732765 750529 865995 977020 1154660 1270126 1465530 1501058 1731990 1905189 2251587 2540252 2931060 3002116 3175315 3463980 3752645 3810378 4503174 6350630 7505290 7620756 8255819 9006348 9525945 11257935 12701260 15010580 16511638 19051890 22515870 24767457 33023276 38103780 41279095 45031740 49534914 82558190 99069828 123837285 165116380 247674570 495349140