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40530042 = 2327674801
BaseRepresentation
bin1001101010011…
…1000001111010
32211021010202200
42122213001322
540333430132
64004411030
71001333250
oct232470172
984233680
1040530042
1120972903
12116a6a76
138520b97
1455505d0
153858d7c
hex26a707a

40530042 has 48 divisors (see below), whose sum is σ = 101879232. Its totient is φ = 11404800.

The previous prime is 40530041. The next prime is 40530043. The reversal of 40530042 is 24003504.

It is a happy number.

40530042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40530041) and next prime (40530043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40529997 and 40530024.

It is not an unprimeable number, because it can be changed into a prime (40530041) 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 23 ways as a sum of consecutive naturals, for example, 6042 + ... + 10842.

It is an arithmetic number, because the mean of its divisors is an integer number (2122484).

Almost surely, 240530042 is an apocalyptic number.

40530042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40530042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50939616).

40530042 is an abundant number, since it is smaller than the sum of its proper divisors (61349190).

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

40530042 is a wasteful number, since it uses less digits than its factorization.

40530042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40530042 is about 6366.3209155681. The cubic root of 40530042 is about 343.4991641380.

Adding to 40530042 its reverse (24003504), we get a palindrome (64533546).

The spelling of 40530042 in words is "forty million, five hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 4801 8442 9602 14403 28806 33607 43209 67214 86418 100821 201642 302463 321667 604926 643334 965001 1930002 2251669 2895003 4503338 5790006 6755007 13510014 20265021 40530042