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4235392 = 27729163
BaseRepresentation
bin10000001010000010000000
321222011212101
4100022002000
52041013032
6230440144
751000040
oct20120200
97864771
104235392
112433127
121503054
13b53a65
147c3720
15589de7
hex40a080

4235392 has 64 divisors (see below), whose sum is σ = 10036800. Its totient is φ = 1741824.

The previous prime is 4235383. The next prime is 4235401. The reversal of 4235392 is 2935324.

It is an interprime number because it is at equal distance from previous prime (4235383) and next prime (4235401).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 43 + 210 + 39 + 54 + 39 + 9 + 222 .

It is a self number, because there is not a number n which added to its sum of digits gives 4235392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25903 + ... + 26065.

It is an arithmetic number, because the mean of its divisors is an integer number (156825).

Almost surely, 24235392 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 4235392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018400).

4235392 is an abundant number, since it is smaller than the sum of its proper divisors (5801408).

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

4235392 is a wasteful number, since it uses less digits than its factorization.

4235392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 4235392 is about 2058.0068027098. The cubic root of 4235392 is about 161.7947917362.

Subtracting from 4235392 its sum of digits (28), we obtain a square (4235364 = 20582).

The spelling of 4235392 in words is "four million, two hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 163 203 224 232 326 406 448 464 652 812 896 928 1141 1304 1624 1856 2282 2608 3248 3712 4564 4727 5216 6496 9128 9454 10432 12992 18256 18908 20864 25984 33089 36512 37816 66178 73024 75632 132356 146048 151264 264712 302528 529424 605056 1058848 2117696 4235392