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42183640 = 2356731567
BaseRepresentation
bin1010000011101…
…0101111011000
32221101011002001
42200322233120
541244334030
64104050344
71021361242
oct240725730
987334061
1042183640
11218a2214
12121639b4
13897c745
145861092
153a83cca
hex283abd8

42183640 has 32 divisors (see below), whose sum is σ = 95114880. Its totient is φ = 16837632.

The previous prime is 42183619. The next prime is 42183683. The reversal of 42183640 is 4638124.

42183640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42183599 and 42183608.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26137 + ... + 27703.

It is an arithmetic number, because the mean of its divisors is an integer number (2972340).

Almost surely, 242183640 is an apocalyptic number.

42183640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42183640 is an abundant number, since it is smaller than the sum of its proper divisors (52931240).

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

42183640 is a wasteful number, since it uses less digits than its factorization.

42183640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 42183640 is about 6494.8933786476. The cubic root of 42183640 is about 348.1085449925.

The spelling of 42183640 in words is "forty-two million, one hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 673 1346 1567 2692 3134 3365 5384 6268 6730 7835 12536 13460 15670 26920 31340 62680 1054591 2109182 4218364 5272955 8436728 10545910 21091820 42183640