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431152427 = 19127197907
BaseRepresentation
bin11001101100101…
…101110100101011
31010001021210221102
4121230231310223
51340333334202
6110441032015
713453510106
oct3154556453
91101253842
10431152427
11201413222
1210048560b
136b42aca4
144139373d
1527cb8d02
hex19b2dd2b

431152427 has 16 divisors (see below), whose sum is σ = 460247040. Its totient is φ = 402742368.

The previous prime is 431152409. The next prime is 431152451. The reversal of 431152427 is 724251134.

It is a cyclic number.

It is not a de Polignac number, because 431152427 - 28 = 431152171 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 431152427.

It is not an unprimeable number, because it can be changed into a prime (431152027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474908 + ... + 475814.

It is an arithmetic number, because the mean of its divisors is an integer number (28765440).

Almost surely, 2431152427 is an apocalyptic number.

431152427 is a deficient number, since it is larger than the sum of its proper divisors (29094613).

431152427 is a wasteful number, since it uses less digits than its factorization.

431152427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250.

The product of its digits is 6720, while the sum is 29.

The square root of 431152427 is about 20764.2102426266. The cubic root of 431152427 is about 755.4579196557.

The spelling of 431152427 in words is "four hundred thirty-one million, one hundred fifty-two thousand, four hundred twenty-seven".

Divisors: 1 19 127 197 907 2413 3743 17233 25019 115189 178679 475361 2188591 3394901 22692233 431152427