Search a number
-
+
42914660 = 22511531861
BaseRepresentation
bin1010001110110…
…1001101100100
32222202021211212
42203231031210
541441232120
64131450552
71030524425
oct243551544
988667755
1042914660
1122251468
1212456a58
138b773b9
1459b164c
153b7a6c5
hex28ed364

42914660 has 24 divisors (see below), whose sum is σ = 90247416. Its totient is φ = 17141760.

The previous prime is 42914623. The next prime is 42914671. The reversal of 42914660 is 6641924.

It is a happy number.

42914660 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 4 ways, for example, as 430336 + 42484324 = 656^2 + 6518^2 .

It is a zygodrome in base 9.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22130 + ... + 23990.

It is an arithmetic number, because the mean of its divisors is an integer number (3760309).

Almost surely, 242914660 is an apocalyptic number.

It is an amenable number.

42914660 is an abundant number, since it is smaller than the sum of its proper divisors (47332756).

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

42914660 is a wasteful number, since it uses less digits than its factorization.

42914660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 42914660 is about 6550.9281785103. The cubic root of 42914660 is about 350.1078851091.

The spelling of 42914660 in words is "forty-two million, nine hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 1153 1861 2306 3722 4612 5765 7444 9305 11530 18610 23060 37220 2145733 4291466 8582932 10728665 21457330 42914660