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679842 = 232179211
BaseRepresentation
bin10100101111110100010
31021112120100
42211332202
5133223332
622323230
75531022
oct2457642
91245510
10679842
11424859
12289516
131aa597
14139a82
15d667c
hexa5fa2

679842 has 24 divisors (see below), whose sum is σ = 1488240. Its totient is φ = 224280.

The previous prime is 679837. The next prime is 679843. The reversal of 679842 is 248976.

It is a d-powerful number, because it can be written as 6 + 75 + 83 + 96 + 4 + 217 .

It is a junction number, because it is equal to n+sod(n) for n = 679797 and 679806.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 679842.

It is not an unprimeable number, because it can be changed into a prime (679843) by changing a digit.

679842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 3117 + ... + 3327.

It is an arithmetic number, because the mean of its divisors is an integer number (62010).

2679842 is an apocalyptic number.

679842 is an abundant number, since it is smaller than the sum of its proper divisors (808398).

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

679842 is a wasteful number, since it uses less digits than its factorization.

679842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 679842 is about 824.5253179861. The cubic root of 679842 is about 87.9297821402.

It can be divided in two parts, 679 and 842, that added together give a square (1521 = 392).

The spelling of 679842 in words is "six hundred seventy-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 179 211 358 422 537 633 1074 1266 1611 1899 3222 3798 37769 75538 113307 226614 339921 679842