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429168 = 2438941
BaseRepresentation
bin1101000110001110000
3210210201010
41220301300
5102213133
613110520
73435135
oct1506160
9723633
10429168
11273493
12188440
1312045c
14b258c
1587263
hex68c70

429168 has 20 divisors (see below), whose sum is σ = 1108808. Its totient is φ = 143040.

The previous prime is 429161. The next prime is 429181. The reversal of 429168 is 861924.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429168.

It is not an unprimeable number, because it can be changed into a prime (429161) by changing a digit.

429168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4423 + ... + 4518.

2429168 is an apocalyptic number.

429168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429168 is an abundant number, since it is smaller than the sum of its proper divisors (679640).

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

429168 is a wasteful number, since it uses less digits than its factorization.

429168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8952 (or 8946 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 429168 is about 655.1091512107. The cubic root of 429168 is about 75.4297110545.

It can be divided in two parts, 42916 and 8, that added together give a palindrome (42924).

The spelling of 429168 in words is "four hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 8941 17882 26823 35764 53646 71528 107292 143056 214584 429168