Search a number
-
+
4293828 = 22327111549
BaseRepresentation
bin10000011000010011000100
322002011000200
4100120103010
52044400303
6232010500
751332310
oct20302304
98064020
104293828
112473020
121530a30
13b74536
147dab40
1559c3a3
hex4184c4

4293828 has 72 divisors (see below), whose sum is σ = 13540800. Its totient is φ = 1114560.

The previous prime is 4293811. The next prime is 4293833. The reversal of 4293828 is 8283924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 44 + 210 + 96 + 313 + 84 + 216 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 4293792 and 4293801.

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 23 ways as a sum of consecutive naturals, for example, 1998 + ... + 3546.

Almost surely, 24293828 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 4293828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770400).

4293828 is an abundant number, since it is smaller than the sum of its proper divisors (9246972).

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

4293828 is a wasteful number, since it uses less digits than its factorization.

4293828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1572 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4293828 is about 2072.1553995779. The cubic root of 4293828 is about 162.5354936275.

The spelling of 4293828 in words is "four million, two hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1549 2772 3098 4647 6196 9294 10843 13941 17039 18588 21686 27882 32529 34078 43372 51117 55764 65058 68156 97587 102234 119273 130116 153351 195174 204468 238546 306702 357819 390348 477092 613404 715638 1073457 1431276 2146914 4293828