Search a number
-
+
42100641 = 341147251
BaseRepresentation
bin1010000010011…
…0011110100001
32221012221020000
42200212132201
541234210031
64102210213
71020564252
oct240463641
987187200
1042100641
1121845920
1212123969
138950a2b
14583cb29
153a693e6
hex28267a1

42100641 has 20 divisors (see below), whose sum is σ = 68609904. Its totient is φ = 25515000.

The previous prime is 42100631. The next prime is 42100661. The reversal of 42100641 is 14600124.

42100641 is a `hidden beast` number, since 4 + 21 + 0 + 0 + 641 = 666.

It is not a de Polignac number, because 42100641 - 215 = 42067873 is a prime.

It is a super-2 number, since 2×421006412 = 3544927945221762, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42100631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22735 + ... + 24516.

Almost surely, 242100641 is an apocalyptic number.

It is an amenable number.

42100641 is a deficient number, since it is larger than the sum of its proper divisors (26509263).

42100641 is a wasteful number, since it uses less digits than its factorization.

42100641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47274 (or 47265 counting only the distinct ones).

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

The square root of 42100641 is about 6488.5006742698. The cubic root of 42100641 is about 347.8800865091.

Adding to 42100641 its reverse (14600124), we get a palindrome (56700765).

The spelling of 42100641 in words is "forty-two million, one hundred thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 47251 141753 425259 519761 1275777 1559283 3827331 4677849 14033547 42100641