Search a number
-
+
40404444 = 223173753101
BaseRepresentation
bin1001101000100…
…0010111011100
32211000202110220
42122020113130
540320420234
64002001340
71000301133
oct232102734
984022426
1040404444
1120897503
1211646250
1384a8972
14551a91a
153831a49
hex26885dc

40404444 has 96 divisors (see below), whose sum is σ = 105489216. Its totient is φ = 11980800.

The previous prime is 40404433. The next prime is 40404457. The reversal of 40404444 is 44440404.

40404444 is a modest number, since divided by 4444 gives 4040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399994 + ... + 400094.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846).

Almost surely, 240404444 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 40404444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52744608).

40404444 is an abundant number, since it is smaller than the sum of its proper divisors (65084772).

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

40404444 is a wasteful number, since it uses less digits than its factorization.

40404444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 40404444 is about 6356.4490086840. The cubic root of 40404444 is about 343.1439753475.

Adding to 40404444 its reverse (44440404), we get a palindrome (84844848).

The spelling of 40404444 in words is "forty million, four hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 53 68 74 101 102 106 111 148 159 202 204 212 222 303 318 404 444 606 629 636 901 1212 1258 1717 1802 1887 1961 2516 2703 3434 3604 3737 3774 3922 5151 5353 5406 5883 6868 7474 7548 7844 10302 10706 10812 11211 11766 14948 16059 20604 21412 22422 23532 32118 33337 44844 63529 64236 66674 91001 100011 127058 133348 182002 190587 198061 200022 254116 273003 364004 381174 396122 400044 546006 594183 762348 792244 1092012 1188366 2376732 3367037 6734074 10101111 13468148 20202222 40404444