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4431042 = 23271123139
BaseRepresentation
bin10000111001110011000010
322100010020200
4100321303002
52113243132
6234550030
752443330
oct20716302
98303220
104431042
112557120
121598316
13bc1b25
14834b50
155c7d7c
hex439cc2

4431042 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1092960.

The previous prime is 4431029. The next prime is 4431059. The reversal of 4431042 is 2401344.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31809 + ... + 31947.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 24431042 is an apocalyptic number.

4431042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

4431042 is an abundant number, since it is smaller than the sum of its proper divisors (8148798).

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

4431042 is a wasteful number, since it uses less digits than its factorization.

4431042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4431042 is about 2105.0040380009. The cubic root of 4431042 is about 164.2487055353.

Adding to 4431042 its reverse (2401344), we get a palindrome (6832386).

It can be divided in two parts, 443 and 1042, that added together give a triangular number (1485 = T54).

The spelling of 4431042 in words is "four million, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 42 46 63 66 69 77 99 126 138 139 154 161 198 207 231 253 278 322 414 417 462 483 506 693 759 834 966 973 1251 1386 1449 1518 1529 1771 1946 2277 2502 2898 2919 3058 3197 3542 4554 4587 5313 5838 6394 8757 9174 9591 10626 10703 13761 15939 17514 19182 21406 22379 27522 28773 31878 32109 35167 44758 57546 64218 67137 70334 96327 105501 134274 192654 201411 211002 246169 316503 402822 492338 633006 738507 1477014 2215521 4431042