Search a number
-
+
4269144 = 23311103157
BaseRepresentation
bin10000010010010001011000
322000220011110
4100102101120
52043103034
6231300320
751200325
oct20222130
98026143
104269144
112456520
12151a6a0
13b66229
147d1b4c
15594de9
hex412458

4269144 has 64 divisors (see below), whose sum is σ = 11831040. Its totient is φ = 1272960.

The previous prime is 4269137. The next prime is 4269149. The reversal of 4269144 is 4419624.

It is a d-powerful number, because it can be written as 45 + 213 + 6 + 92 + 1 + 48 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4269149) 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 15 ways as a sum of consecutive naturals, for example, 27114 + ... + 27270.

It is an arithmetic number, because the mean of its divisors is an integer number (184860).

Almost surely, 24269144 is an apocalyptic number.

4269144 is a gapful number since it is divisible by the number (44) 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 4269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915520).

4269144 is an abundant number, since it is smaller than the sum of its proper divisors (7561896).

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

4269144 is a wasteful number, since it uses less digits than its factorization.

4269144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 4269144 is about 2066.1906978786. The cubic root of 4269144 is about 162.2234380621.

The spelling of 4269144 in words is "four million, two hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 157 206 264 309 314 412 471 618 628 824 942 1133 1236 1256 1727 1884 2266 2472 3399 3454 3768 4532 5181 6798 6908 9064 10362 13596 13816 16171 20724 27192 32342 41448 48513 64684 97026 129368 177881 194052 355762 388104 533643 711524 1067286 1423048 2134572 4269144