Search a number
-
+
80444040 = 2335976911
BaseRepresentation
bin1001100101101…
…11101010001000
312121100222110220
410302313222020
5131043202130
611552110040
71664522505
oct462675210
9177328426
1080444040
1141454886
1222b35320
1313887531
14a9804ac
1570e0410
hex4cb7a88

80444040 has 64 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 21227520.

The previous prime is 80443997. The next prime is 80444047. The reversal of 80444040 is 4044408.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 80444040.

It is not an unprimeable number, because it can be changed into a prime (80444047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8185 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 280444040 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 80444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

80444040 is an abundant number, since it is smaller than the sum of its proper divisors (163411320).

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

80444040 is a wasteful number, since it uses less digits than its factorization.

80444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 80444040 is about 8969.0601514317. The cubic root of 80444040 is about 431.6826802114.

Adding to 80444040 its reverse (4044408), we get a palindrome (84488448).

It can be divided in two parts, 804 and 44040, that added together give a palindrome (44844).

The spelling of 80444040 in words is "eighty million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 6911 11640 13822 20733 27644 34555 41466 55288 69110 82932 103665 138220 165864 207330 276440 414660 670367 829320 1340734 2011101 2681468 3351835 4022202 5362936 6703670 8044404 10055505 13407340 16088808 20111010 26814680 40222020 80444040