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431382048 = 2534493563
BaseRepresentation
bin11001101101100…
…101111000100000
31010001201110220220
4121231211320200
51340413211143
6110450003040
713455454416
oct3155457040
91101643826
10431382048
1120155a799
12100576480
136b4ab666
14414132b6
1527d11d83
hex19b65e20

431382048 has 24 divisors (see below), whose sum is σ = 1132378128. Its totient is φ = 143793984.

The previous prime is 431382041. The next prime is 431382053. The reversal of 431382048 is 840283134.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (431382041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2246686 + ... + 2246877.

It is an arithmetic number, because the mean of its divisors is an integer number (47182422).

Almost surely, 2431382048 is an apocalyptic number.

431382048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

431382048 is an abundant number, since it is smaller than the sum of its proper divisors (700996080).

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

431382048 is a wasteful number, since it uses less digits than its factorization.

431382048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493576 (or 4493568 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 431382048 is about 20769.7387561808. The cubic root of 431382048 is about 755.5920085193.

The spelling of 431382048 in words is "four hundred thirty-one million, three hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4493563 8987126 13480689 17974252 26961378 35948504 53922756 71897008 107845512 143794016 215691024 431382048