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42779349 = 32311071433
BaseRepresentation
bin1010001100110…
…0001011010101
32222111102020100
42203030023111
541422414344
64124524313
71026422064
oct243141325
988442210
1042779349
1122169838
12123b0699
138b2a932
1459781db
153b50569
hex28cc2d5

42779349 has 24 divisors (see below), whose sum is σ = 64426752. Its totient is φ = 27322560.

The previous prime is 42779329. The next prime is 42779351. The reversal of 42779349 is 94397724.

It is not a de Polignac number, because 42779349 - 221 = 40682197 is a prime.

It is a super-3 number, since 3×427793493 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42779309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29137 + ... + 30569.

It is an arithmetic number, because the mean of its divisors is an integer number (2684448).

Almost surely, 242779349 is an apocalyptic number.

It is an amenable number.

42779349 is a deficient number, since it is larger than the sum of its proper divisors (21647403).

42779349 is a wasteful number, since it uses less digits than its factorization.

42779349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1574 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 42779349 is about 6540.5924043622. The cubic root of 42779349 is about 349.7395313784.

The spelling of 42779349 in words is "forty-two million, seven hundred seventy-nine thousand, three hundred forty-nine".

Divisors: 1 3 9 31 93 107 279 321 963 1433 3317 4299 9951 12897 29853 44423 133269 153331 399807 459993 1379979 4753261 14259783 42779349