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42626916 = 22321184081
BaseRepresentation
bin1010001010011…
…0111101100100
32222012200010200
42202212331210
541403030131
64121350500
71025215503
oct242467544
988180120
1042626916
1122075262
1212338430
138aa6437
14593883a
153b202e6
hex28a6f64

42626916 has 18 divisors (see below), whose sum is σ = 107751462. Its totient is φ = 14208960.

The previous prime is 42626911. The next prime is 42626933. The reversal of 42626916 is 61962624.

42626916 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 only one way, i.e., 42302016 + 324900 = 6504^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1184081 = 42626916 / (4 + 2 + 6 + 2 + 6 + 9 + 1 + 6).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42626911) 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 5 ways as a sum of consecutive naturals, for example, 592005 + ... + 592076.

Almost surely, 242626916 is an apocalyptic number.

It is an amenable number.

42626916 is an abundant number, since it is smaller than the sum of its proper divisors (65124546).

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

42626916 is a wasteful number, since it uses less digits than its factorization.

42626916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184091 (or 1184086 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42626916 is about 6528.9291618151. The cubic root of 42626916 is about 349.3236352836.

The spelling of 42626916 in words is "forty-two million, six hundred twenty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1184081 2368162 3552243 4736324 7104486 10656729 14208972 21313458 42626916