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42065562 = 23711831097
BaseRepresentation
bin1010000001110…
…1111010011010
32221011011002210
42200131322122
541232044222
64101335550
71020360060
oct240357232
987134083
1042065562
1121821530
12121075b6
13893aa86
145830030
153a5dd0c
hex281de9a

42065562 has 64 divisors (see below), whose sum is σ = 106251264. Its totient is φ = 10784640.

The previous prime is 42065561. The next prime is 42065581. The reversal of 42065562 is 26556024.

42065562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42065561) 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 31 ways as a sum of consecutive naturals, for example, 37798 + ... + 38894.

It is an arithmetic number, because the mean of its divisors is an integer number (1660176).

Almost surely, 242065562 is an apocalyptic number.

42065562 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42065562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53125632).

42065562 is an abundant number, since it is smaller than the sum of its proper divisors (64185702).

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

42065562 is a wasteful number, since it uses less digits than its factorization.

42065562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 42065562 is about 6485.7969440925. The cubic root of 42065562 is about 347.7834397110.

The spelling of 42065562 in words is "forty-two million, sixty-five thousand, five hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 581 913 1097 1162 1743 1826 2194 2739 3291 3486 5478 6391 6582 7679 12067 12782 15358 19173 23037 24134 36201 38346 46074 72402 84469 91051 168938 182102 253407 273153 506814 546306 637357 1001561 1274714 1912071 2003122 3004683 3824142 6009366 7010927 14021854 21032781 42065562