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42677775 = 32527479
BaseRepresentation
bin1010001011001…
…1011000001111
32222022020220100
42202303120033
541411142100
64122422143
71025520000
oct242633017
988266810
1042677775
11220aa498
1212361953
138ac362a
14594d1a7
153b30400
hex28b360f

42677775 has 90 divisors (see below), whose sum is σ = 90304240. Its totient is φ = 19262880.

The previous prime is 42677759. The next prime is 42677777. The reversal of 42677775 is 57777624.

42677775 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 42677775 - 24 = 42677759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42677775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42677777) 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 89 ways as a sum of consecutive naturals, for example, 540186 + ... + 540264.

Almost surely, 242677775 is an apocalyptic number.

42677775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42677775 is an abundant number, since it is smaller than the sum of its proper divisors (47626465).

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

42677775 is an equidigital number, since it uses as much as digits as its factorization.

42677775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 42677775 is about 6532.8228967270. The cubic root of 42677775 is about 349.4625083350.

The spelling of 42677775 in words is "forty-two million, six hundred seventy-seven thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 79 105 147 175 225 237 245 315 343 395 441 525 553 711 735 1029 1185 1225 1575 1659 1715 1975 2205 2401 2765 3087 3555 3675 3871 4977 5145 5925 7203 8295 8575 11025 11613 12005 13825 15435 17775 19355 21609 24885 25725 27097 34839 36015 41475 58065 60025 77175 81291 96775 108045 124425 135485 174195 180075 189679 243873 290325 406455 540225 569037 677425 870975 948395 1219365 1707111 2032275 2845185 4741975 6096825 8535555 14225925 42677775