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4385264 = 241329727
BaseRepresentation
bin10000101110100111110000
322020210110012
4100232213300
52110312024
6233554052
752163012
oct20564760
98223405
104385264
112525794
121575928
13ba7040
148221b2
155b950e
hex42e9f0

4385264 has 40 divisors (see below), whose sum is σ = 9478560. Its totient is φ = 1951488.

The previous prime is 4385263. The next prime is 4385267. The reversal of 4385264 is 4625834.

It is a d-powerful number, because it can be written as 48 + 3 + 83 + 57 + 27 + 66 + 411 .

It is a self number, because there is not a number n which added to its sum of digits gives 4385264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4385263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5669 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 24385264 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 4385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739280).

4385264 is an abundant number, since it is smaller than the sum of its proper divisors (5093296).

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

4385264 is a wasteful number, since it uses less digits than its factorization.

4385264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 4385264 is about 2094.1021942589. The cubic root of 4385264 is about 163.6811174260.

The spelling of 4385264 in words is "four million, three hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 727 754 1454 1508 2908 3016 5816 6032 9451 11632 18902 21083 37804 42166 75608 84332 151216 168664 274079 337328 548158 1096316 2192632 4385264