Search a number
-
+
42022827 = 33711172941
BaseRepresentation
bin1010000001001…
…1011110101011
32221001222111000
42200103132223
541224212302
64100410043
71020121350
oct240233653
987058430
1042022827
11217a2410
12120a6923
1389244a2
14581c627
153a5131c
hex28137ab

42022827 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 19353600.

The previous prime is 42022823. The next prime is 42022829. The reversal of 42022827 is 72822024.

42022827 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 42022827 - 22 = 42022823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42022827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42022823) 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 127 ways as a sum of consecutive naturals, for example, 1024927 + ... + 1024967.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 242022827 is an apocalyptic number.

42022827 is an abundant number, since it is smaller than the sum of its proper divisors (45068373).

42022827 is a wasteful number, since it uses less digits than its factorization.

42022827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42022827 is about 6482.5016004626. The cubic root of 42022827 is about 347.6656270993.

It can be divided in two parts, 42022 and 827, that added together give a square (42849 = 2072).

The spelling of 42022827 in words is "forty-two million, twenty-two thousand, eight hundred twenty-seven".

Divisors: 1 3 7 9 11 17 21 27 29 33 41 51 63 77 87 99 119 123 153 187 189 203 231 261 287 297 319 357 369 451 459 493 561 609 693 697 783 861 957 1071 1107 1189 1309 1353 1479 1683 1827 2079 2091 2233 2583 2871 3157 3213 3451 3567 3927 4059 4437 4879 5049 5423 5481 6273 6699 7667 7749 8323 8613 9471 10353 10701 11781 12177 13079 13311 14637 16269 18819 20097 20213 23001 24969 28413 31059 32103 35343 37961 39237 43911 48807 53669 60291 60639 69003 74907 85239 91553 93177 113883 117711 131733 141491 146421 161007 181917 207009 222343 224721 274659 341649 353133 424473 483021 545751 667029 823977 1024947 1273419 1449063 1556401 2001087 2471931 3820257 4669203 6003261 14007609 42022827