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4295328 = 253101443
BaseRepresentation
bin10000011000101010100000
322002020002020
4100120222200
52044422303
6232021440
751336552
oct20305240
98066066
104295328
112474164
121531880
13b7511b
147db4d2
1559ca53
hex418aa0

4295328 has 48 divisors (see below), whose sum is σ = 11412576. Its totient is φ = 1414400.

The previous prime is 4295323. The next prime is 4295351. The reversal of 4295328 is 8235924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4295321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9475 + ... + 9917.

It is an arithmetic number, because the mean of its divisors is an integer number (237762).

Almost surely, 24295328 is an apocalyptic number.

4295328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706288).

4295328 is an abundant number, since it is smaller than the sum of its proper divisors (7117248).

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

4295328 is a wasteful number, since it uses less digits than its factorization.

4295328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4295328 is about 2072.5173099398. The cubic root of 4295328 is about 162.5544180663.

The spelling of 4295328 in words is "four million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 443 606 808 886 1212 1329 1616 1772 2424 2658 3232 3544 4848 5316 7088 9696 10632 14176 21264 42528 44743 89486 134229 178972 268458 357944 536916 715888 1073832 1431776 2147664 4295328