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27381536 = 257139403
BaseRepresentation
bin110100001110…
…0111100100000
31220112010101222
41220130330200
524002202121
62414514212
7451511360
oct150347440
956463358
1027381536
1114502176
129205968
1358991c0
1438ca9a0
15260d0ab
hex1a1cf20

27381536 has 48 divisors (see below), whose sum is σ = 66354624. Its totient is φ = 10831104.

The previous prime is 27381533. The next prime is 27381559. The reversal of 27381536 is 63518372.

It is a junction number, because it is equal to n+sod(n) for n = 27381496 and 27381505.

It is not an unprimeable number, because it can be changed into a prime (27381533) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1790 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (1382388).

Almost surely, 227381536 is an apocalyptic number.

27381536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

27381536 is an abundant number, since it is smaller than the sum of its proper divisors (38973088).

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

27381536 is a wasteful number, since it uses less digits than its factorization.

27381536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9425 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 27381536 is about 5232.7369511566. The cubic root of 27381536 is about 301.4064919262.

The spelling of 27381536 in words is "twenty-seven million, three hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 9403 18806 37612 65821 75224 122239 131642 150448 244478 263284 300896 488956 526568 855673 977912 1053136 1711346 1955824 2106272 3422692 3911648 6845384 13690768 27381536