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42720777 = 341147947
BaseRepresentation
bin1010001011110…
…1111000001001
32222101102220000
42202331320021
541414031102
64123353213
71026056241
oct242757011
988342800
1042720777
1122129830
1212382809
138b0a088
145960b21
153b3d01c
hex28bde09

42720777 has 20 divisors (see below), whose sum is σ = 69620496. Its totient is φ = 25890840.

The previous prime is 42720761. The next prime is 42720787. The reversal of 42720777 is 77702724.

42720777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42720777 - 24 = 42720761 is a prime.

It is a super-3 number, since 3×427207773 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42720737) 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 19 ways as a sum of consecutive naturals, for example, 23083 + ... + 24864.

Almost surely, 242720777 is an apocalyptic number.

It is an amenable number.

42720777 is a deficient number, since it is larger than the sum of its proper divisors (26899719).

42720777 is a wasteful number, since it uses less digits than its factorization.

42720777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47970 (or 47961 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 42720777 is about 6536.1132946117. The cubic root of 42720777 is about 349.5798413993.

The spelling of 42720777 in words is "forty-two million, seven hundred twenty thousand, seven hundred seventy-seven".

Divisors: 1 3 9 11 27 33 81 99 297 891 47947 143841 431523 527417 1294569 1582251 3883707 4746753 14240259 42720777