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42908436 = 223210111801
BaseRepresentation
bin1010001110101…
…1101100010100
32222201222022100
42203223230110
541441032221
64131402100
71030500324
oct243535424
988658270
1042908436
112224781a
1212453330
138b7460c
1459ad284
153b78926
hex28ebb14

42908436 has 36 divisors (see below), whose sum is σ = 109546164. Its totient is φ = 14160000.

The previous prime is 42908431. The next prime is 42908447. The reversal of 42908436 is 63480924.

It is a happy number.

42908436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33872400 + 9036036 = 5820^2 + 3006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×429084362 = 3682267759932192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42908436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42908431) 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 11 ways as a sum of consecutive naturals, for example, 2265 + ... + 9536.

It is an arithmetic number, because the mean of its divisors is an integer number (3042949).

Almost surely, 242908436 is an apocalyptic number.

It is an amenable number.

42908436 is an abundant number, since it is smaller than the sum of its proper divisors (66637728).

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

42908436 is a wasteful number, since it uses less digits than its factorization.

42908436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11907 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42908436 is about 6550.4531140983. The cubic root of 42908436 is about 350.0909586724.

The spelling of 42908436 in words is "forty-two million, nine hundred eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 11801 23602 35403 47204 70806 106209 141612 212418 424836 1191901 2383802 3575703 4767604 7151406 10727109 14302812 21454218 42908436