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404044404 = 2232312711527
BaseRepresentation
bin11000000101010…
…011101001110100
31001011021120201120
4120011103221310
51311413410104
6104032023540
713004215011
oct3005235164
91034246646
10404044404
111980885a5
12b3391bb0
136592943a
143b938708
1525711cd9
hex18153a74

404044404 has 48 divisors (see below), whose sum is σ = 991592448. Its totient is φ = 127800288.

The previous prime is 404044393. The next prime is 404044409. The reversal of 404044404 is 404440404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404044409) 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, 29289 + ... + 40815.

It is an arithmetic number, because the mean of its divisors is an integer number (20658176).

Almost surely, 2404044404 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 404044404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495796224).

404044404 is an abundant number, since it is smaller than the sum of its proper divisors (587548044).

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

404044404 is a wasteful number, since it uses less digits than its factorization.

404044404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11684 (or 11682 counting only the distinct ones).

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

The square root of 404044404 is about 20100.8558026767. The cubic root of 404044404 is about 739.2812622077.

Adding to 404044404 its reverse (404440404), we get a palindrome (808484808).

The spelling of 404044404 in words is "four hundred four million, forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 127 138 254 276 381 508 762 1524 2921 5842 8763 11527 11684 17526 23054 34581 35052 46108 69162 138324 265121 530242 795363 1060484 1463929 1590726 2927858 3181452 4391787 5855716 8783574 17567148 33670367 67340734 101011101 134681468 202022202 404044404