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4281728 = 27113041
BaseRepresentation
bin10000010101010110000000
322001112102112
4100111112000
52044003403
6231434452
751252113
oct20252600
98045375
104281728
112464a20
121525a28
13b6bb89
147d657a
155989d8
hex415580

4281728 has 32 divisors (see below), whose sum is σ = 9308520. Its totient is φ = 1945600.

The previous prime is 4281709. The next prime is 4281731. The reversal of 4281728 is 8271824.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4281694 and 4281703.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 113 + ... + 2928.

Almost surely, 24281728 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 4281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654260).

4281728 is an abundant number, since it is smaller than the sum of its proper divisors (5026792).

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

4281728 is a wasteful number, since it uses less digits than its factorization.

4281728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3054 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 4281728 is about 2069.2336745762. The cubic root of 4281728 is about 162.3826750752.

The spelling of 4281728 in words is "four million, two hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 3041 6082 12164 24328 33451 48656 66902 97312 133804 194624 267608 389248 535216 1070432 2140864 4281728