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4289744 = 2419103137
BaseRepresentation
bin10000010111010011010000
322001221102102
4100113103100
52044232434
6231535532
751314354
oct20272320
98057372
104289744
11246aa48
12152a5a8
13b72714
147d9464
1559b07e
hex4174d0

4289744 has 40 divisors (see below), whose sum is σ = 8898240. Its totient is φ = 1997568.

The previous prime is 4289741. The next prime is 4289771. The reversal of 4289744 is 4479824.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 4289698 and 4289707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289741) 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, 31244 + ... + 31380.

It is an arithmetic number, because the mean of its divisors is an integer number (222456).

Almost surely, 24289744 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 4289744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449120).

4289744 is an abundant number, since it is smaller than the sum of its proper divisors (4608496).

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

4289744 is a wasteful number, since it uses less digits than its factorization.

4289744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 4289744 is about 2071.1697178165. The cubic root of 4289744 is about 162.4839463431.

The spelling of 4289744 in words is "four million, two hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 103 137 152 206 274 304 412 548 824 1096 1648 1957 2192 2603 3914 5206 7828 10412 14111 15656 20824 28222 31312 41648 56444 112888 225776 268109 536218 1072436 2144872 4289744