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495196440 = 233523593041
BaseRepresentation
bin11101100001000…
…001100100011000
31021111210120210220
4131201001210120
52003232241230
6121045440040
715162046254
oct3541014430
91244716726
10495196440
11234586462
12119a10020
137b79285b
1449aa5264
152d719d10
hex1d841918

495196440 has 128 divisors (see below), whose sum is σ = 1576972800. Its totient is φ = 124129280.

The previous prime is 495196439. The next prime is 495196447. The reversal of 495196440 is 44691594.

It is a junction number, because it is equal to n+sod(n) for n = 495196392 and 495196401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495196447) 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 31 ways as a sum of consecutive naturals, for example, 161320 + ... + 164360.

It is an arithmetic number, because the mean of its divisors is an integer number (12320100).

Almost surely, 2495196440 is an apocalyptic number.

495196440 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 495196440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788486400).

495196440 is an abundant number, since it is smaller than the sum of its proper divisors (1081776360).

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

495196440 is a wasteful number, since it uses less digits than its factorization.

495196440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 495196440 is about 22253.0096840854. The cubic root of 495196440 is about 791.1506173080.

The spelling of 495196440 in words is "four hundred ninety-five million, one hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 59 60 69 92 115 118 120 138 177 184 230 236 276 295 345 354 460 472 552 590 690 708 885 920 1180 1357 1380 1416 1770 2360 2714 2760 3041 3540 4071 5428 6082 6785 7080 8142 9123 10856 12164 13570 15205 16284 18246 20355 24328 27140 30410 32568 36492 40710 45615 54280 60820 69943 72984 81420 91230 121640 139886 162840 179419 182460 209829 279772 349715 358838 364920 419658 538257 559544 699430 717676 839316 897095 1049145 1076514 1398860 1435352 1678632 1794190 2098290 2153028 2691285 2797720 3588380 4126637 4196580 4306056 5382570 7176760 8253274 8393160 10765140 12379911 16506548 20633185 21530280 24759822 33013096 41266370 49519644 61899555 82532740 99039288 123799110 165065480 247598220 495196440