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27489640 = 2358292
BaseRepresentation
bin110100011011…
…1010101101000
31220201121200211
41220313111220
524014132030
62421110504
7452441503
oct150672550
956647624
1027489640
1114576412
129258434
135906479
14391813a
15263012a
hex1a37568

27489640 has 24 divisors (see below), whose sum is σ = 61926390. Its totient is φ = 10982592.

The previous prime is 27489587. The next prime is 27489641. The reversal of 27489640 is 4698472.

It can be written as a sum of positive squares in 3 ways, for example, as 23561316 + 3928324 = 4854^2 + 1982^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27489593 and 27489602.

It is not an unprimeable number, because it can be changed into a prime (27489641) 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 5 ways as a sum of consecutive naturals, for example, 32746 + ... + 33574.

Almost surely, 227489640 is an apocalyptic number.

27489640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27489640 is an abundant number, since it is smaller than the sum of its proper divisors (34436750).

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

27489640 is an frugal number, since it uses more digits than its factorization.

27489640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 27489640 is about 5243.0563605592. The cubic root of 27489640 is about 301.8026282250.

Multiplying 27489640 by its sum of digits (40), we get a square (1099585600 = 331602).

27489640 divided by its sum of digits (40) gives a square (687241 = 8292).

The spelling of 27489640 in words is "twenty-seven million, four hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 829 1658 3316 4145 6632 8290 16580 33160 687241 1374482 2748964 3436205 5497928 6872410 13744820 27489640