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42008036 = 22747137233
BaseRepresentation
bin1010000000111…
…1110111100100
32221001020012012
42200033313210
541223224121
64100213352
71020030260
oct240176744
987036165
1042008036
1121792294
121209a258
13891a835
1458170a0
153a4bc5b
hex280fde4

42008036 has 48 divisors (see below), whose sum is σ = 86800896. Its totient is φ = 17416704.

The previous prime is 42008023. The next prime is 42008039. The reversal of 42008036 is 63080024.

It is a happy number.

42008036 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 (42008039) 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 15 ways as a sum of consecutive naturals, for example, 180176 + ... + 180408.

It is an arithmetic number, because the mean of its divisors is an integer number (1808352).

Almost surely, 242008036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42008036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43400448).

42008036 is an abundant number, since it is smaller than the sum of its proper divisors (44792860).

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

42008036 is a wasteful number, since it uses less digits than its factorization.

42008036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42008036 is about 6481.3606596146. The cubic root of 42008036 is about 347.6248324004.

The spelling of 42008036 in words is "forty-two million, eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 47 94 137 188 233 274 329 466 548 658 932 959 1316 1631 1918 3262 3836 6439 6524 10951 12878 21902 25756 31921 43804 45073 63842 76657 90146 127684 153314 180292 223447 306628 446894 893788 1500287 3000574 6001148 10502009 21004018 42008036