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125709568 = 281812713
BaseRepresentation
bin1110111111000…
…10110100000000
322202112201002221
413133202310000
5224140201233
620250220424
73054341125
oct737426400
9282481087
10125709568
1164a61506
1236124714
132007597a
14129a474c
15b08242d
hex77e2d00

125709568 has 36 divisors (see below), whose sum is σ = 252407428. Its totient is φ = 62484480.

The previous prime is 125709541. The next prime is 125709581. The reversal of 125709568 is 865907521.

It can be written as a sum of positive squares in 2 ways, for example, as 62220544 + 63489024 = 7888^2 + 7968^2 .

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 3 ways as a sum of consecutive naturals, for example, 44980 + ... + 47692.

Almost surely, 2125709568 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 125709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126203714).

125709568 is an abundant number, since it is smaller than the sum of its proper divisors (126697860).

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

125709568 is an equidigital number, since it uses as much as digits as its factorization.

125709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 125709568 is about 11212.0278272933. The cubic root of 125709568 is about 500.9443061159.

The spelling of 125709568 in words is "one hundred twenty-five million, seven hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1448 2713 2896 5426 5792 10852 11584 21704 23168 43408 46336 86816 173632 347264 491053 694528 982106 1964212 3928424 7856848 15713696 31427392 62854784 125709568