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42121062 = 23219791559
BaseRepresentation
bin1010000010101…
…1011101100110
32221020222020100
42200223131212
541240333222
64102444530
71021010634
oct240533546
987228210
1042121062
112185a1a5
1212133746
13895a109
145846354
153a704ac
hex282b766

42121062 has 48 divisors (see below), whose sum is σ = 97344000. Its totient is φ = 13124592.

The previous prime is 42121007. The next prime is 42121067. The reversal of 42121062 is 26012124.

42121062 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121067) 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 23 ways as a sum of consecutive naturals, for example, 26239 + ... + 27797.

It is an arithmetic number, because the mean of its divisors is an integer number (2028000).

Almost surely, 242121062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48672000).

42121062 is an abundant number, since it is smaller than the sum of its proper divisors (55222938).

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

42121062 is a wasteful number, since it uses less digits than its factorization.

42121062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42121062 is about 6490.0741135984. The cubic root of 42121062 is about 347.9363240609.

Adding to 42121062 its reverse (26012124), we get a palindrome (68133186).

It can be divided in two parts, 42 and 121062, that added together give a square (121104 = 3482).

The spelling of 42121062 in words is "forty-two million, one hundred twenty-one thousand, sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1501 1559 3002 3118 4503 4677 9006 9354 13509 14031 27018 28062 29621 59242 88863 123161 177726 246322 266589 369483 533178 738966 1108449 2216898 2340059 4680118 7020177 14040354 21060531 42121062