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42630921 = 3331353
BaseRepresentation
bin1010001010011…
…1111100001001
32222012212122000
42202213330021
541403142141
64121421213
71025233254
oct242477411
988185560
1042630921
1122078273
121233a809
138aa81c8
14593a09b
153b215b6
hex28a7f09

42630921 has 32 divisors (see below), whose sum is σ = 66493440. Its totient is φ = 26984880.

The previous prime is 42630901. The next prime is 42630949. The reversal of 42630921 is 12903624.

42630921 is a `hidden beast` number, since 4 + 2 + 630 + 9 + 21 = 666.

42630921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42630921 - 27 = 42630793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42630901) 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 31 ways as a sum of consecutive naturals, for example, 804331 + ... + 804383.

It is an arithmetic number, because the mean of its divisors is an integer number (2077920).

Almost surely, 242630921 is an apocalyptic number.

It is an amenable number.

42630921 is a deficient number, since it is larger than the sum of its proper divisors (23862519).

42630921 is an frugal number, since it uses more digits than its factorization.

42630921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42630921 is about 6529.2358664701. The cubic root of 42630921 is about 349.3345751426.

The spelling of 42630921 in words is "forty-two million, six hundred thirty thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 31 53 93 159 279 477 837 961 1431 1643 2883 4929 8649 14787 25947 29791 44361 50933 89373 152799 268119 458397 804357 1375191 1578923 4736769 14210307 42630921