Search a number
-
+
4431284 = 22111361127
BaseRepresentation
bin10000111001110110110100
322100010120122
4100321312310
52113300114
6234551112
752444124
oct20716664
98303518
104431284
112557320
121598498
13bc1c80
14834c84
155c7e8e
hex439db4

4431284 has 48 divisors (see below), whose sum is σ = 9332736. Its totient is φ = 1814400.

The previous prime is 4431283. The next prime is 4431289. The reversal of 4431284 is 4821344.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34829 + ... + 34955.

It is an arithmetic number, because the mean of its divisors is an integer number (194432).

Almost surely, 24431284 is an apocalyptic number.

4431284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4431284 is an abundant number, since it is smaller than the sum of its proper divisors (4901452).

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

4431284 is a wasteful number, since it uses less digits than its factorization.

4431284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 4431284 is about 2105.0615192911. The cubic root of 4431284 is about 164.2516956117.

The spelling of 4431284 in words is "four million, four hundred thirty-one thousand, two hundred eighty-four".

Divisors: 1 2 4 11 13 22 26 44 52 61 122 127 143 244 254 286 508 572 671 793 1342 1397 1586 1651 2684 2794 3172 3302 5588 6604 7747 8723 15494 17446 18161 30988 34892 36322 72644 85217 100711 170434 201422 340868 402844 1107821 2215642 4431284