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126256725 = 355272969
BaseRepresentation
bin1111000011010…
…00011001010101
322210120111200000
413201220121111
5224310203400
620310041513
73062110260
oct741503125
9283514600
10126256725
11652a5601
1236349299
1320207a2a
1412aa7cd7
15b13e600
hex7868655

126256725 has 72 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 57697920.

The previous prime is 126256723. The next prime is 126256747. The reversal of 126256725 is 527652621.

126256725 is a `hidden beast` number, since 1 + 2 + 625 + 6 + 7 + 25 = 666.

It is not a de Polignac number, because 126256725 - 21 = 126256723 is a prime.

It is a super-3 number, since 3×1262567253 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126256725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126256721) 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 71 ways as a sum of consecutive naturals, for example, 41041 + ... + 44009.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2126256725 is an apocalyptic number.

126256725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126256725 is an abundant number, since it is smaller than the sum of its proper divisors (141851115).

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

126256725 is an equidigital number, since it uses as much as digits as its factorization.

126256725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2984 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 126256725 is about 11236.4017817093. The cubic root of 126256725 is about 501.6700489955.

The spelling of 126256725 in words is "one hundred twenty-six million, two hundred fifty-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 945 1215 1575 1701 2025 2835 2969 4725 6075 8505 8907 14175 14845 20783 26721 42525 44535 62349 74225 80163 103915 133605 187047 222675 240489 311745 400815 519575 561141 668025 721467 935235 1202445 1558725 1683423 2004075 2805705 3607335 4676175 5050269 6012225 8417115 14028525 18036675 25251345 42085575 126256725