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404147072 = 277451057
BaseRepresentation
bin11000000101101…
…100101110000000
31001011110210120002
4120011230232000
51311430201242
6104034135132
713005123230
oct3005545600
91034423502
10404147072
1119814874a
12b34214a8
13659640a4
143b963cc0
1525732432
hex1816cb80

404147072 has 32 divisors (see below), whose sum is σ = 920158320. Its totient is φ = 173205504.

The previous prime is 404147071. The next prime is 404147111. The reversal of 404147072 is 270741404.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404147071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224633 + ... + 226424.

Almost surely, 2404147072 is an apocalyptic number.

It is an amenable number.

404147072 is an abundant number, since it is smaller than the sum of its proper divisors (516011248).

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

404147072 is an equidigital number, since it uses as much as digits as its factorization.

404147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451078 (or 451066 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 404147072 is about 20103.4094620788. The cubic root of 404147072 is about 739.3438742209.

Adding to 404147072 its reverse (270741404), we get a palindrome (674888476).

The spelling of 404147072 in words is "four hundred four million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 451057 902114 1804228 3157399 3608456 6314798 7216912 12629596 14433824 25259192 28867648 50518384 57735296 101036768 202073536 404147072