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42737331 = 3713374231
BaseRepresentation
bin1010001100000…
…1111010110011
32222102021121010
42203001322303
541420043311
64124002003
71026155430
oct243017263
988367533
1042737331
112214020a
1212390303
138b14780
145966b87
153b42da6
hex28c1eb3

42737331 has 32 divisors (see below), whose sum is σ = 72045568. Its totient is φ = 21928320.

The previous prime is 42737311. The next prime is 42737347. The reversal of 42737331 is 13373724.

42737331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42737331 - 27 = 42737203 is a prime.

It is a super-2 number, since 2×427373312 = 3652958922007122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42737311) 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, 7986 + ... + 12216.

It is an arithmetic number, because the mean of its divisors is an integer number (2251424).

Almost surely, 242737331 is an apocalyptic number.

42737331 is a deficient number, since it is larger than the sum of its proper divisors (29308237).

42737331 is a wasteful number, since it uses less digits than its factorization.

42737331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291.

The product of its digits is 10584, while the sum is 30.

The square root of 42737331 is about 6537.3795208784. The cubic root of 42737331 is about 349.6249888100.

The spelling of 42737331 in words is "forty-two million, seven hundred thirty-seven thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 4231 10101 12693 29617 55003 88851 156547 165009 385021 469641 1095829 1155063 2035111 3287487 6105333 14245777 42737331