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495235840 = 28511172069
BaseRepresentation
bin11101100001001…
…011001100000000
31021111212120212011
4131201023030000
52003240021330
6121050342304
715162302161
oct3541131400
91244776764
10495235840
11234603020
12119a2a994
137b7a7778
1449ab5768
152d72682a
hex1d84b300

495235840 has 144 divisors (see below), whose sum is σ = 1370869920. Its totient is φ = 169410560.

The previous prime is 495235837. The next prime is 495235841. The reversal of 495235840 is 48532594.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 495235793 and 495235802.

It is not an unprimeable number, because it can be changed into a prime (495235841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238326 + ... + 240394.

It is an arithmetic number, because the mean of its divisors is an integer number (9519930).

Almost surely, 2495235840 is an apocalyptic number.

495235840 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 495235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685434960).

495235840 is an abundant number, since it is smaller than the sum of its proper divisors (875634080).

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

495235840 is a wasteful number, since it uses less digits than its factorization.

495235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 495235840 is about 22253.8949399875. The cubic root of 495235840 is about 791.1715992222.

The spelling of 495235840 in words is "four hundred ninety-five million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 256 272 320 340 352 374 440 544 640 680 704 748 880 935 1088 1280 1360 1408 1496 1760 1870 2069 2176 2720 2816 2992 3520 3740 4138 4352 5440 5984 7040 7480 8276 10345 10880 11968 14080 14960 16552 20690 21760 22759 23936 29920 33104 35173 41380 45518 47872 59840 66208 70346 82760 91036 113795 119680 132416 140692 165520 175865 182072 227590 239360 264832 281384 331040 351730 364144 386903 455180 529664 562768 662080 703460 728288 773806 910360 1125536 1324160 1406920 1456576 1547612 1820720 1934515 2251072 2648320 2813840 2913152 3095224 3641440 3869030 4502144 5627680 5826304 6190448 7282880 7738060 9004288 11255360 12380896 14565760 15476120 22510720 24761792 29131520 30952240 45021440 49523584 61904480 99047168 123808960 247617920 495235840