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495385020 = 2232513269787
BaseRepresentation
bin11101100001101…
…111100110111100
31021112011011111100
4131201233212330
52003304310040
6121053453100
715163463124
oct3541574674
91245134440
10495385020
112346a5109
12119aa1190
137b82a640
1449b13c84
152d755b30
hex1d86f9bc

495385020 has 144 divisors (see below), whose sum is σ = 1626337440. Its totient is φ = 121333248.

The previous prime is 495385003. The next prime is 495385027. The reversal of 495385020 is 20583594.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495385027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629067 + ... + 629853.

It is an arithmetic number, because the mean of its divisors is an integer number (11294010).

Almost surely, 2495385020 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 495385020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813168720).

495385020 is an abundant number, since it is smaller than the sum of its proper divisors (1130952420).

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

495385020 is a wasteful number, since it uses less digits than its factorization.

495385020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 495385020 is about 22257.2464604227. The cubic root of 495385020 is about 791.2510328446.

The spelling of 495385020 in words is "four hundred ninety-five million, three hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 269 390 468 538 585 780 787 807 1076 1170 1345 1574 1614 2340 2361 2421 2690 3148 3228 3497 3935 4035 4722 4842 5380 6994 7083 7870 8070 9444 9684 10231 10491 11805 12105 13988 14166 15740 16140 17485 20462 20982 23610 24210 28332 30693 31473 34970 35415 40924 41964 47220 48420 51155 52455 61386 62946 69940 70830 92079 102310 104910 122772 125892 141660 153465 157365 184158 204620 209820 211703 306930 314730 368316 423406 460395 613860 629460 635109 846812 920790 1058515 1270218 1841580 1905327 2117030 2540436 2752139 3175545 3810654 4234060 5504278 6351090 7621308 8256417 9526635 11008556 12702180 13760695 16512834 19053270 24769251 27521390 33025668 38106540 41282085 49538502 55042780 82564170 99077004 123846255 165128340 247692510 495385020