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8435427 = 371113532
BaseRepresentation
bin100000001011…
…011011100011
3120212120020020
4200023123203
54124413202
6500444523
7131462040
oct40133343
916776206
108435427
114841730
1229a9743
1319946a0
1411981c7
15b195bc
hex80b6e3

8435427 has 48 divisors (see below), whose sum is σ = 15391488. Its totient is φ = 3968640.

The previous prime is 8435389. The next prime is 8435431. The reversal of 8435427 is 7245348.

It is not a de Polignac number, because 8435427 - 210 = 8434403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (26880) is a multiple of the sum of its prime factors (140).

8435427 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8435437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159133 + ... + 159185.

It is an arithmetic number, because the mean of its divisors is an integer number (320656).

Almost surely, 28435427 is an apocalyptic number.

8435427 is a deficient number, since it is larger than the sum of its proper divisors (6956061).

8435427 is a wasteful number, since it uses less digits than its factorization.

8435427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 87 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 8435427 is about 2904.3806568699. The cubic root of 8435427 is about 203.5646473228.

It can be divided in two parts, 84 and 35427, that added together give a triangular number (35511 = T266).

The spelling of 8435427 in words is "eight million, four hundred thirty-five thousand, four hundred twenty-seven".

Divisors: 1 3 7 11 13 21 33 39 53 77 91 143 159 231 273 371 429 583 689 1001 1113 1749 2067 2809 3003 4081 4823 7579 8427 12243 14469 19663 22737 30899 36517 53053 58989 92697 109551 159159 216293 255619 401687 648879 766857 1205061 2811809 8435427