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27144954 = 23217432063
BaseRepresentation
bin110011110001…
…1001011111010
31220002002212200
41213203023322
523422114304
62405451030
7446504544
oct147431372
956062780
1027144954
1114360451
129110a76
135815605
143868694
1525b2e39
hex19e32fa

27144954 has 48 divisors (see below), whose sum is σ = 63752832. Its totient is φ = 8313984.

The previous prime is 27144947. The next prime is 27144959. The reversal of 27144954 is 45944172.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27144959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12127 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (1328184).

Almost surely, 227144954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27144954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31876416).

27144954 is an abundant number, since it is smaller than the sum of its proper divisors (36607878).

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

27144954 is a wasteful number, since it uses less digits than its factorization.

27144954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2128 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 27144954 is about 5210.0819571289. The cubic root of 27144954 is about 300.5359087693.

The spelling of 27144954 in words is "twenty-seven million, one hundred forty-four thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2063 2193 4126 4386 6189 6579 12378 13158 18567 35071 37134 70142 88709 105213 177418 210426 266127 315639 532254 631278 798381 1508053 1596762 3016106 4524159 9048318 13572477 27144954