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42779256 = 23313314423
BaseRepresentation
bin1010001100110…
…0001001111000
32222111102002220
42203030021320
541422414011
64124524040
71026421602
oct243141170
988442086
1042779256
1122169763
12123b0620
138b2a890
145978172
153b50506
hex28cc278

42779256 has 64 divisors (see below), whose sum is σ = 118917120. Its totient is φ = 12735360.

The previous prime is 42779251. The next prime is 42779273. The reversal of 42779256 is 65297724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42779251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7461 + ... + 11883.

It is an arithmetic number, because the mean of its divisors is an integer number (1858080).

Almost surely, 242779256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42779256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59458560).

42779256 is an abundant number, since it is smaller than the sum of its proper divisors (76137864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42779256 is a wasteful number, since it uses less digits than its factorization.

42779256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4472 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 42779256 is about 6540.5852949105. The cubic root of 42779256 is about 349.7392779399.

The spelling of 42779256 in words is "forty-two million, seven hundred seventy-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4423 4836 8846 9672 13269 17692 26538 35384 53076 57499 106152 114998 137113 172497 229996 274226 344994 411339 459992 548452 689988 822678 1096904 1379976 1645356 1782469 3290712 3564938 5347407 7129876 10694814 14259752 21389628 42779256