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427000831 = 37101163701
BaseRepresentation
bin11001011100111…
…000001111111111
31002202110220000121
4121130320033333
51333303011311
6110212035411
713403306245
oct3134701777
91082426017
10427000831
111aa038054
12bb002b67
136a60641a
14409d2795
1527748b71
hex197383ff

427000831 has 16 divisors (see below), whose sum is σ = 446236128. Its totient is φ = 408240000.

The previous prime is 427000811. The next prime is 427000853. The reversal of 427000831 is 138000724.

It is a cyclic number.

It is not a de Polignac number, because 427000831 - 213 = 426992639 is a prime.

It is a super-2 number, since 2×4270008312 = 364659419349381122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 427000796 and 427000805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608781 + ... + 609481.

It is an arithmetic number, because the mean of its divisors is an integer number (27889758).

Almost surely, 2427000831 is an apocalyptic number.

427000831 is a deficient number, since it is larger than the sum of its proper divisors (19235297).

427000831 is a wasteful number, since it uses less digits than its factorization.

427000831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 427000831 is about 20663.9984272164. The cubic root of 427000831 is about 753.0253097411.

The spelling of 427000831 in words is "four hundred twenty-seven million, eight hundred thirty-one", and thus it is an aban number.

Divisors: 1 37 101 163 701 3737 6031 16463 25937 70801 114263 609131 2619637 4227731 11540563 427000831