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4263328 = 25172461
BaseRepresentation
bin10000010000110110100000
322000121012001
4100100312200
52042411303
6231213344
751144346
oct20206640
98017161
104263328
112452113
121517254
13b636a4
147cd996
1559331d
hex410da0

4263328 has 36 divisors (see below), whose sum is σ = 8935542. Its totient is φ = 2001920.

The previous prime is 4263313. The next prime is 4263331. The reversal of 4263328 is 8233624.

4263328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4112784 + 150544 = 2028^2 + 388^2 .

It is a d-powerful number, because it can be written as 4 + 221 + 65 + 37 + 310 + 221 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4263296 and 4263305.

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 5 ways as a sum of consecutive naturals, for example, 9018 + ... + 9478.

Almost surely, 24263328 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 4263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467771).

4263328 is an abundant number, since it is smaller than the sum of its proper divisors (4672214).

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

4263328 is a wasteful number, since it uses less digits than its factorization.

4263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 480 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 4263328 is about 2064.7827972937. The cubic root of 4263328 is about 162.1497370820.

The spelling of 4263328 in words is "four million, two hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 461 544 578 922 1156 1844 2312 3688 4624 7376 7837 9248 14752 15674 31348 62696 125392 133229 250784 266458 532916 1065832 2131664 4263328