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27441372 = 2237359113
BaseRepresentation
bin110100010101…
…1100011011100
31220122011111010
41220223203130
524011110442
62420055220
7452151000
oct150534334
956564433
1027441372
1114543122
129234510
1358ba4ca
143904700
152620b9c
hex1a2b8dc

27441372 has 96 divisors (see below), whose sum is σ = 76608000. Its totient is φ = 7639296.

The previous prime is 27441371. The next prime is 27441389. The reversal of 27441372 is 27314472.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27441371) 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 31 ways as a sum of consecutive naturals, for example, 242788 + ... + 242900.

It is an arithmetic number, because the mean of its divisors is an integer number (798000).

Almost surely, 227441372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27441372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

27441372 is an abundant number, since it is smaller than the sum of its proper divisors (49166628).

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

27441372 is a wasteful number, since it uses less digits than its factorization.

27441372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 27441372 is about 5238.4512978551. The cubic root of 27441372 is about 301.6258835350.

The spelling of 27441372 in words is "twenty-seven million, four hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 113 118 147 177 196 226 236 294 339 343 354 413 452 588 678 686 708 791 826 1029 1239 1356 1372 1582 1652 2058 2373 2478 2891 3164 4116 4746 4956 5537 5782 6667 8673 9492 11074 11564 13334 16611 17346 20001 20237 22148 26668 33222 34692 38759 40002 40474 46669 60711 66444 77518 80004 80948 93338 116277 121422 140007 155036 186676 232554 242844 280014 326683 465108 560028 653366 980049 1306732 1960098 2286781 3920196 4573562 6860343 9147124 13720686 27441372