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42725969 = 1113509587
BaseRepresentation
bin1010001011111…
…1001001010001
32222101201000022
42202333021101
541414212334
64123433225
71026110336
oct242771121
988351008
1042725969
1122132720
1212385815
138b0c550
14596298d
153b3e82e
hex28bf251

42725969 has 16 divisors (see below), whose sum is σ = 50379840. Its totient is φ = 35722560.

The previous prime is 42725957. The next prime is 42725999. The reversal of 42725969 is 96952724.

42725969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42725969 - 24 = 42725953 is a prime.

It is a super-3 number, since 3×427259693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

Its product of digits (272160) is a multiple of the sum of its prime divisors (1120).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42725999) 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 15 ways as a sum of consecutive naturals, for example, 72494 + ... + 73080.

It is an arithmetic number, because the mean of its divisors is an integer number (3148740).

Almost surely, 242725969 is an apocalyptic number.

It is an amenable number.

42725969 is a deficient number, since it is larger than the sum of its proper divisors (7653871).

42725969 is a wasteful number, since it uses less digits than its factorization.

42725969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120.

The product of its digits is 272160, while the sum is 44.

The square root of 42725969 is about 6536.5104604827. The cubic root of 42725969 is about 349.5940026977.

The spelling of 42725969 in words is "forty-two million, seven hundred twenty-five thousand, nine hundred sixty-nine".

Divisors: 1 11 13 143 509 587 5599 6457 6617 7631 72787 83941 298783 3286613 3884179 42725969