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126863408 = 2473161599
BaseRepresentation
bin1111000111111…
…00100000110000
322211201022212202
413203330200300
5224434112113
620331042332
73100215110
oct743744060
9284638782
10126863408
116567a3a1
12365a03a8
132038ac09
1412bc5040
15b20e258
hex78fc830

126863408 has 80 divisors (see below), whose sum is σ = 295219200. Its totient is φ = 51667200.

The previous prime is 126863381. The next prime is 126863411. The reversal of 126863408 is 804368621.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211493 + ... + 212091.

It is an arithmetic number, because the mean of its divisors is an integer number (3690240).

Almost surely, 2126863408 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 126863408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600).

126863408 is an abundant number, since it is smaller than the sum of its proper divisors (168355792).

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

126863408 is a wasteful number, since it uses less digits than its factorization.

126863408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 126863408 is about 11263.3657491888. The cubic root of 126863408 is about 502.4722993236.

The spelling of 126863408 in words is "one hundred twenty-six million, eight hundred sixty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 61 62 112 122 124 217 244 248 427 434 488 496 599 854 868 976 1198 1708 1736 1891 2396 3416 3472 3782 4193 4792 6832 7564 8386 9584 13237 15128 16772 18569 26474 30256 33544 36539 37138 52948 67088 73078 74276 105896 129983 146156 148552 211792 255773 259966 292312 297104 511546 519932 584624 1023092 1039864 1132709 2046184 2079728 2265418 4092368 4530836 7928963 9061672 15857926 18123344 31715852 63431704 126863408