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42719825 = 5261109257
BaseRepresentation
bin1010001011110…
…1101001010001
32222101101120202
42202331221101
541414013300
64123344545
71026053411
oct242755121
988341522
1042719825
1122129045
1212382155
138b09805
145960641
153b3cad5
hex28bda51

42719825 has 24 divisors (see below), whose sum is σ = 54546360. Its totient is φ = 33177600.

The previous prime is 42719821. The next prime is 42719849. The reversal of 42719825 is 52891724.

42719825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6635776 + 36084049 = 2576^2 + 6007^2 .

It is not a de Polignac number, because 42719825 - 22 = 42719821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42719821) 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 23 ways as a sum of consecutive naturals, for example, 166097 + ... + 166353.

It is an arithmetic number, because the mean of its divisors is an integer number (2272765).

Almost surely, 242719825 is an apocalyptic number.

It is an amenable number.

42719825 is a deficient number, since it is larger than the sum of its proper divisors (11826535).

42719825 is a wasteful number, since it uses less digits than its factorization.

42719825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 42719825 is about 6536.0404680510. The cubic root of 42719825 is about 349.5772446732.

The spelling of 42719825 in words is "forty-two million, seven hundred nineteen thousand, eight hundred twenty-five".

Divisors: 1 5 25 61 109 257 305 545 1285 1525 2725 6425 6649 15677 28013 33245 78385 140065 166225 391925 700325 1708793 8543965 42719825