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27422948 = 2272181773
BaseRepresentation
bin110100010011…
…1000011100100
31220121020012202
41220213003210
524010013243
62415434032
7452043200
oct150470344
956536182
1027422948
11145302a3
129225918
1358b1cc7
1438dbb00
15261a4b8
hex1a270e4

27422948 has 36 divisors (see below), whose sum is σ = 56206332. Its totient is φ = 11672640.

The previous prime is 27422939. The next prime is 27422963. The reversal of 27422948 is 84922472.

It can be written as a sum of positive squares in 2 ways, for example, as 879844 + 26543104 = 938^2 + 5152^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35090 + ... + 35862.

It is an arithmetic number, because the mean of its divisors is an integer number (1561287).

Almost surely, 227422948 is an apocalyptic number.

27422948 is a gapful number since it is divisible by the number (28) 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 27422948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28103166).

27422948 is an abundant number, since it is smaller than the sum of its proper divisors (28783384).

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

27422948 is a wasteful number, since it uses less digits than its factorization.

27422948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 27422948 is about 5236.6924675791. The cubic root of 27422948 is about 301.5583650520.

The spelling of 27422948 in words is "twenty-seven million, four hundred twenty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 773 1267 1546 2534 3092 5068 5411 8869 10822 17738 21644 35476 37877 75754 139913 151508 279826 559652 979391 1958782 3917564 6855737 13711474 27422948