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42654132 = 22321184837
BaseRepresentation
bin1010001010110…
…1100110110100
32222021001110200
42202231212310
541404413012
64122120500
71025361033
oct242554664
988231420
1042654132
1122093754
1212350130
138ab5941
14594471a
153b283dc
hex28ad9b4

42654132 has 18 divisors (see below), whose sum is σ = 107820258. Its totient is φ = 14218032.

The previous prime is 42654083. The next prime is 42654133. The reversal of 42654132 is 23145624.

42654132 is a `hidden beast` number, since 4 + 2 + 654 + 1 + 3 + 2 = 666.

42654132 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., 31404816 + 11249316 = 5604^2 + 3354^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42654096 and 42654105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42654133) 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, 592383 + ... + 592454.

Almost surely, 242654132 is an apocalyptic number.

It is an amenable number.

42654132 is an abundant number, since it is smaller than the sum of its proper divisors (65166126).

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

42654132 is a wasteful number, since it uses less digits than its factorization.

42654132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184847 (or 1184842 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42654132 is about 6531.0130913971. The cubic root of 42654132 is about 349.3979636682.

Adding to 42654132 its reverse (23145624), we get a palindrome (65799756).

The spelling of 42654132 in words is "forty-two million, six hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1184837 2369674 3554511 4739348 7109022 10663533 14218044 21327066 42654132