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43428 = 22371147
BaseRepresentation
bin1010100110100100
32012120110
422212210
52342203
6533020
7240420
oct124644
965513
1043428
112a6a0
1221170
13169c8
1411b80
15cd03
hexa9a4

43428 has 48 divisors (see below), whose sum is σ = 129024. Its totient is φ = 11040.

The previous prime is 43427. The next prime is 43441. The reversal of 43428 is 82434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (43427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

243428 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 43428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

43428 is an abundant number, since it is smaller than the sum of its proper divisors (85596).

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

43428 is a wasteful number, since it uses less digits than its factorization.

43428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 43428 is about 208.3938578749. The cubic root of 43428 is about 35.1498338414.

The spelling of 43428 in words is "forty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1974 2068 3102 3619 3948 6204 7238 10857 14476 21714 43428