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42644040 = 2335477561
BaseRepresentation
bin1010001010101…
…1001001001000
32222020112121220
42202223021020
541404102130
64122002040
71025316435
oct242531110
988215556
1042644040
112208710a
1212346320
138ab117a
145940b8c
153b25410
hex28ab248

42644040 has 64 divisors (see below), whose sum is σ = 130671360. Its totient is φ = 11128320.

The previous prime is 42644039. The next prime is 42644051. The reversal of 42644040 is 4044624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42644040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860 + ... + 9420.

It is an arithmetic number, because the mean of its divisors is an integer number (2041740).

Almost surely, 242644040 is an apocalyptic number.

42644040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65335680).

42644040 is an abundant number, since it is smaller than the sum of its proper divisors (88027320).

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

42644040 is a wasteful number, since it uses less digits than its factorization.

42644040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42644040 is about 6530.2404243642. The cubic root of 42644040 is about 349.3704055536.

Adding to 42644040 its reverse (4044624), we get a palindrome (46688664).

The spelling of 42644040 in words is "forty-two million, six hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 7561 15122 22683 30244 37805 45366 60488 75610 90732 113415 151220 181464 226830 302440 355367 453660 710734 907320 1066101 1421468 1776835 2132202 2842936 3553670 4264404 5330505 7107340 8528808 10661010 14214680 21322020 42644040