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125027424 = 2532538191
BaseRepresentation
bin1110111001111…
…00010001100000
322201021001101100
413130330101200
5224001334144
620223434400
73045500304
oct734742140
9281231340
10125027424
1164635a55
1235a55a00
131cb97332
1412867d04
15ae9a269
hex773c460

125027424 has 72 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 40884480.

The previous prime is 125027423. The next prime is 125027437. The reversal of 125027424 is 424720521.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125027423) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11169 + ... + 19359.

It is an arithmetic number, because the mean of its divisors is an integer number (5031936).

Almost surely, 2125027424 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 125027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

125027424 is an abundant number, since it is smaller than the sum of its proper divisors (237271968).

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

125027424 is a wasteful number, since it uses less digits than its factorization.

125027424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 125027424 is about 11181.5662588029. The cubic root of 125027424 is about 500.0365626596.

Adding to 125027424 its reverse (424720521), we get a palindrome (549747945).

The spelling of 125027424 in words is "one hundred twenty-five million, twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 8191 15264 16382 24573 32764 49146 65528 73719 98292 131056 147438 196584 262112 294876 393168 434123 589752 786336 868246 1179504 1302369 1736492 2359008 2604738 3472984 3907107 5209476 6945968 7814214 10418952 13891936 15628428 20837904 31256856 41675808 62513712 125027424