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427073625 = 32531134511
BaseRepresentation
bin11001011101001…
…010000001011001
31002202121120212200
4121131022001121
51333312324000
6110213400413
713404031416
oct3135120131
91082546780
10427073625
111aa087810
12bb039109
136a6305b4
1440a1110d
1527760500
hex1974a059

427073625 has 48 divisors (see below), whose sum is σ = 839884032. Its totient is φ = 207060000.

The previous prime is 427073593. The next prime is 427073693. The reversal of 427073625 is 526370724.

It is a happy number.

427073625 is a `hidden beast` number, since 4 + 27 + 0 + 7 + 3 + 625 = 666.

It is not a de Polignac number, because 427073625 - 25 = 427073593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 427073625.

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 47 ways as a sum of consecutive naturals, for example, 4881 + ... + 29630.

It is an arithmetic number, because the mean of its divisors is an integer number (17497584).

Almost surely, 2427073625 is an apocalyptic number.

427073625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427073625 is a deficient number, since it is larger than the sum of its proper divisors (412810407).

427073625 is a wasteful number, since it uses less digits than its factorization.

427073625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34543 (or 34530 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 427073625 is about 20665.7597247234. The cubic root of 427073625 is about 753.0680985803.

The spelling of 427073625 in words is "four hundred twenty-seven million, seventy-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 4125 12375 34511 103533 172555 310599 379621 517665 862775 1138863 1552995 1898105 2588325 3416589 4313875 5694315 7764975 9490525 12941625 17082945 28471575 38824875 47452625 85414725 142357875 427073625