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42776625 = 353373083
BaseRepresentation
bin1010001100101…
…1100000110001
32222111021111110
42203023200301
541422323000
64124503533
71026411123
oct243134061
988437443
1042776625
1122167791
12123aaba9
138b29618
145977213
153b4e850
hex28cb831

42776625 has 32 divisors (see below), whose sum is σ = 73127808. Its totient is φ = 22190400.

The previous prime is 42776611. The next prime is 42776633. The reversal of 42776625 is 52667724.

It is a happy number.

42776625 is a nontrivial binomial coefficient, being equal to C(9250, 2).

It is not a de Polignac number, because 42776625 - 211 = 42774577 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12334 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (2285244).

Almost surely, 242776625 is an apocalyptic number.

42776625 is the 9249-th triangular number and also the 4625-th hexagonal number.

It is an amenable number.

42776625 is a deficient number, since it is larger than the sum of its proper divisors (30351183).

42776625 is a wasteful number, since it uses less digits than its factorization.

42776625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3128 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 42776625 is about 6540.3841630290. The cubic root of 42776625 is about 349.7321079313.

The spelling of 42776625 in words is "forty-two million, seven hundred seventy-six thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 111 125 185 375 555 925 2775 3083 4625 9249 13875 15415 46245 77075 114071 231225 342213 385375 570355 1156125 1711065 2851775 8555325 14258875 42776625