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125064448 = 284571069
BaseRepresentation
bin1110111010001…
…01010100000000
322201022221011121
413131011110000
5224004030243
620224322024
73046013245
oct735052400
9281287147
10125064448
1164660853
1235a73314
131cbab142
14128775cc
15aea61ed
hex7745500

125064448 has 36 divisors (see below), whose sum is σ = 250420660. Its totient is φ = 62337024.

The previous prime is 125064431. The next prime is 125064451. The reversal of 125064448 is 844460521.

It can be written as a sum of positive squares in 2 ways, for example, as 85525504 + 39538944 = 9248^2 + 6288^2 .

It is a super-2 number, since 2×1250644482 = 31282232307089408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 116458 + ... + 117526.

Almost surely, 2125064448 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 125064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125210330).

125064448 is an abundant number, since it is smaller than the sum of its proper divisors (125356212).

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

125064448 is an equidigital number, since it uses as much as digits as its factorization.

125064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 125064448 is about 11183.2217182706. The cubic root of 125064448 is about 500.0859159027.

The spelling of 125064448 in words is "one hundred twenty-five million, sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 457 914 1069 1828 2138 3656 4276 7312 8552 14624 17104 29248 34208 58496 68416 116992 136832 273664 488533 977066 1954132 3908264 7816528 15633056 31266112 62532224 125064448