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125403424 = 2517297949
BaseRepresentation
bin1110111100110…
…00000100100000
322201222011011021
413132120010200
5224100402144
620235455224
73051624436
oct736300440
9281864137
10125403424
11648724a3
1235bb7514
131cc99513
1412924d56
15b021884
hex7798120

125403424 has 48 divisors (see below), whose sum is σ = 270459000. Its totient is φ = 56971264.

The previous prime is 125403391. The next prime is 125403451. The reversal of 125403424 is 424304521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 118113424 + 7290000 = 10868^2 + 2700^2 .

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 7 ways as a sum of consecutive naturals, for example, 11802 + ... + 19750.

Almost surely, 2125403424 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 125403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135229500).

125403424 is an abundant number, since it is smaller than the sum of its proper divisors (145055576).

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

125403424 is a wasteful number, since it uses less digits than its factorization.

125403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 125403424 is about 11198.3670238120. The cubic root of 125403424 is about 500.5373210320.

Adding to 125403424 its reverse (424304521), we get a palindrome (549707945).

The spelling of 125403424 in words is "one hundred twenty-five million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 7949 15776 15898 31796 63592 127184 135133 230521 254368 270266 461042 540532 922084 1081064 1844168 2162128 3688336 3918857 4324256 7376672 7837714 15675428 31350856 62701712 125403424