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125655296 = 2813172221
BaseRepresentation
bin1110111110101…
…01100100000000
322202102221122212
413133111210000
5224131432141
620245121252
73054023654
oct737254400
9282387585
10125655296
1164a24758
12360b9228
1320057060
141298ca64
15b0712eb
hex77d5900

125655296 has 72 divisors (see below), whose sum is σ = 286131384. Its totient is φ = 54558720.

The previous prime is 125655287. The next prime is 125655311. The reversal of 125655296 is 692556521.

It can be written as a sum of positive squares in 4 ways, for example, as 22429696 + 103225600 = 4736^2 + 10160^2 .

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 55466 + ... + 57686.

It is an arithmetic number, because the mean of its divisors is an integer number (3974047).

Almost surely, 2125655296 is an apocalyptic number.

125655296 is a gapful number since it is divisible by the number (16) 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 125655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143065692).

125655296 is an abundant number, since it is smaller than the sum of its proper divisors (160476088).

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

125655296 is a wasteful number, since it uses less digits than its factorization.

125655296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2253 counting only the distinct ones).

The product of its digits is 162000, while the sum is 41.

The square root of 125655296 is about 11209.6073080193. The cubic root of 125655296 is about 500.8722056300.

The spelling of 125655296 in words is "one hundred twenty-five million, six hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1664 1768 2176 2221 3328 3536 4352 4442 7072 8884 14144 17768 28288 28873 35536 37757 56576 57746 71072 75514 115492 142144 151028 230984 284288 302056 461968 490841 568576 604112 923936 981682 1208224 1847872 1963364 2416448 3695744 3926728 4832896 7391488 7853456 9665792 15706912 31413824 62827648 125655296