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404406044 = 227291393583
BaseRepresentation
bin11000000110101…
…011111100011100
31001011221221210122
4120012223330130
51312011443134
6104043454112
713010252240
oct3006537434
91034857718
10404406044
11198305279
12b3527338
1365a24c23
143b9d0420
152578402e
hex181abf1c

404406044 has 48 divisors (see below), whose sum is σ = 842956800. Its totient is φ = 166090176.

The previous prime is 404406043. The next prime is 404406049. The reversal of 404406044 is 440604404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404406043) 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, 111077 + ... + 114659.

It is an arithmetic number, because the mean of its divisors is an integer number (17561600).

Almost surely, 2404406044 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 404406044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421478400).

404406044 is an abundant number, since it is smaller than the sum of its proper divisors (438550756).

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

404406044 is a wasteful number, since it uses less digits than its factorization.

404406044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 404406044 is about 20109.8494275815. The cubic root of 404406044 is about 739.5017610338.

The spelling of 404406044 in words is "four hundred four million, four hundred six thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 139 203 278 406 556 812 973 1946 3583 3892 4031 7166 8062 14332 16124 25081 28217 50162 56434 100324 103907 112868 207814 415628 498037 727349 996074 1454698 1992148 2909396 3486259 6972518 13945036 14443073 28886146 57772292 101101511 202203022 404406044