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4295712 = 253291543
BaseRepresentation
bin10000011000110000100000
322002020121110
4100120300200
52044430322
6232023320
751340641
oct20306040
98066543
104295712
112474483
121531b40
13b75355
147db6c8
1559cc0c
hex418c20

4295712 has 48 divisors (see below), whose sum is σ = 11672640. Its totient is φ = 1381632.

The previous prime is 4295699. The next prime is 4295717. The reversal of 4295712 is 2175924.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4295712.

It is not an unprimeable number, because it can be changed into a prime (4295717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2013 + ... + 3555.

It is an arithmetic number, because the mean of its divisors is an integer number (243180).

Almost surely, 24295712 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 4295712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836320).

4295712 is an abundant number, since it is smaller than the sum of its proper divisors (7376928).

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

4295712 is a wasteful number, since it uses less digits than its factorization.

4295712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 4295712 is about 2072.6099488326. The cubic root of 4295712 is about 162.5592620143.

The spelling of 4295712 in words is "four million, two hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 1543 2784 3086 4629 6172 9258 12344 18516 24688 37032 44747 49376 74064 89494 134241 148128 178988 268482 357976 536964 715952 1073928 1431904 2147856 4295712