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495342848 = 28711131933
BaseRepresentation
bin11101100001100…
…101010100000000
31021112002000122102
4131201211110000
52003301432343
6121052525532
715163226150
oct3541452400
91245060572
10495342848
11234676460
12119a808a8
137b8143a0
1449b02760
152d7483b8
hex1d865500

495342848 has 144 divisors (see below), whose sum is σ = 1328240256. Its totient is φ = 178053120.

The previous prime is 495342839. The next prime is 495342851. The reversal of 495342848 is 848243594.

It is a super-2 number, since 2×4953428482 = 490729074129502208, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255290 + ... + 257222.

Almost surely, 2495342848 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 495342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664120128).

495342848 is an abundant number, since it is smaller than the sum of its proper divisors (832897408).

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

495342848 is a wasteful number, since it uses less digits than its factorization.

495342848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1966 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 495342848 is about 22256.2990634112. The cubic root of 495342848 is about 791.2285792081.

It can be divided in two parts, 495 and 342848, that added together give a palindrome (343343).

The spelling of 495342848 in words is "four hundred ninety-five million, three hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 1792 1933 2002 2288 2464 2816 2912 3328 3866 4004 4576 4928 5824 7732 8008 9152 9856 11648 13531 15464 16016 18304 19712 21263 23296 25129 27062 30928 32032 36608 42526 50258 54124 61856 64064 85052 100516 108248 123712 128128 148841 170104 175903 201032 216496 247424 256256 276419 297682 340208 351806 402064 432992 494848 552838 595364 680416 703612 804128 865984 1105676 1190728 1360832 1407224 1608256 1731968 1934933 2211352 2381456 2721664 2814448 3216512 3463936 3869866 4422704 4762912 5443328 5628896 6433024 7739732 8845408 9525824 11257792 15479464 17690816 19051648 22515584 30958928 35381632 38103296 45031168 61917856 70763264 123835712 247671424 495342848