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42727476 = 22311893637
BaseRepresentation
bin1010001011111…
…1100000110100
32222101210002010
42202333200310
541414234401
64123444220
71026114621
oct242774064
988353063
1042727476
1122133870
1212386670
138b1013c
145963348
153b3eed6
hex28bf834

42727476 has 48 divisors (see below), whose sum is σ = 110013120. Its totient is φ = 12798720.

The previous prime is 42727463. The next prime is 42727481. The reversal of 42727476 is 67472724.

42727476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9930 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (2291940).

Almost surely, 242727476 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 42727476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55006560).

42727476 is an abundant number, since it is smaller than the sum of its proper divisors (67285644).

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

42727476 is a wasteful number, since it uses less digits than its factorization.

42727476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3742 counting only the distinct ones).

The product of its digits is 131712, while the sum is 39.

The square root of 42727476 is about 6536.6257350410. The cubic root of 42727476 is about 349.5981128598.

It can be divided in two parts, 427274 and 76, that added together give a triangular number (427350 = T924).

The spelling of 42727476 in words is "forty-two million, seven hundred twenty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3637 3916 5874 7274 10911 11748 14548 21822 40007 43644 80014 120021 160028 240042 323693 480084 647386 971079 1294772 1942158 3560623 3884316 7121246 10681869 14242492 21363738 42727476