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42812040 = 23351971811
BaseRepresentation
bin1010001101010…
…0001010001000
32222120002002010
42203110022020
541424441130
64125335520
71026616305
oct243241210
988502063
1042812040
1122191357
12124075a0
138b3c78b
1459860ac
153b5a0b0
hex28d4288

42812040 has 64 divisors (see below), whose sum is σ = 129159360. Its totient is φ = 11352320.

The previous prime is 42812027. The next prime is 42812041. The reversal of 42812040 is 4021824.

It is a junction number, because it is equal to n+sod(n) for n = 42811998 and 42812016.

It is not an unprimeable number, because it can be changed into a prime (42812041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22735 + ... + 24545.

It is an arithmetic number, because the mean of its divisors is an integer number (2018115).

Almost surely, 242812040 is an apocalyptic number.

42812040 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 42812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579680).

42812040 is an abundant number, since it is smaller than the sum of its proper divisors (86347320).

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

42812040 is a wasteful number, since it uses less digits than its factorization.

42812040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42812040 is about 6543.0910126637. The cubic root of 42812040 is about 349.8285963452.

Adding to 42812040 its reverse (4021824), we get a palindrome (46833864).

The spelling of 42812040 in words is "forty-two million, eight hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1811 1970 2364 2955 3622 3940 4728 5433 5910 7244 7880 9055 10866 11820 14488 18110 21732 23640 27165 36220 43464 54330 72440 108660 217320 356767 713534 1070301 1427068 1783835 2140602 2854136 3567670 4281204 5351505 7135340 8562408 10703010 14270680 21406020 42812040