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27431424 = 29325953
BaseRepresentation
bin110100010100…
…1001000000000
31220121122211200
41220221020000
524010301144
62415541200
7452106666
oct150511000
956548750
1027431424
11145366a9
12922a800
1358b5b17
143900c36
15261cc69
hex1a29200

27431424 has 60 divisors (see below), whose sum is σ = 79182246. Its totient is φ = 9142272.

The previous prime is 27431423. The next prime is 27431441. The reversal of 27431424 is 42413472.

It can be written as a sum of positive squares in only one way, i.e., 27373824 + 57600 = 5232^2 + 240^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27431423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1632 + ... + 7584.

Almost surely, 227431424 is an apocalyptic number.

27431424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39591123).

27431424 is an abundant number, since it is smaller than the sum of its proper divisors (51750822).

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

27431424 is an equidigital number, since it uses as much as digits as its factorization.

27431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5958 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 27431424 is about 5237.5016945105. The cubic root of 27431424 is about 301.5894308271.

Adding to 27431424 its reverse (42413472), we get a palindrome (69844896).

The spelling of 27431424 in words is "twenty-seven million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5953 11906 17859 23812 35718 47624 53577 71436 95248 107154 142872 190496 214308 285744 380992 428616 571488 761984 857232 1142976 1523968 1714464 2285952 3047936 3428928 4571904 6857856 9143808 13715712 27431424