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423852 = 2231113219
BaseRepresentation
bin1100111011110101100
3210112102020
41213132230
5102030402
613030140
73413502
oct1473654
9715366
10423852
1126a4a0
12185350
1311ac00
14b0672
15858bc
hex677ac

423852 has 72 divisors (see below), whose sum is σ = 1229760. Its totient is φ = 112320.

The previous prime is 423847. The next prime is 423853. The reversal of 423852 is 258324.

423852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1920) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (423853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22299 + ... + 22317.

It is an arithmetic number, because the mean of its divisors is an integer number (17080).

2423852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614880).

423852 is an abundant number, since it is smaller than the sum of its proper divisors (805908).

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

423852 is a wasteful number, since it uses less digits than its factorization.

423852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 423852 is about 651.0391693285. The cubic root of 423852 is about 75.1169730249.

It can be divided in two parts, 423 and 852, that added together give a triangular number (1275 = T50).

The spelling of 423852 in words is "four hundred twenty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 169 209 228 247 286 338 418 429 494 507 572 627 676 741 836 858 988 1014 1254 1482 1716 1859 2028 2508 2717 2964 3211 3718 5434 5577 6422 7436 8151 9633 10868 11154 12844 16302 19266 22308 32604 35321 38532 70642 105963 141284 211926 423852