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42442020 = 22325235789
BaseRepresentation
bin1010000111100…
…1110100100100
32221212021111200
42201321310210
541331121040
64113402500
71023515445
oct241716444
987767450
1042442020
1121a59355
1212269430
138a4022a
1458cb2cc
153ad5630
hex2879d24

42442020 has 36 divisors (see below), whose sum is σ = 128741340. Its totient is φ = 11317824.

The previous prime is 42441983. The next prime is 42442027. The reversal of 42442020 is 2024424.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 12236004 = 5496^2 + 3498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 42441984 and 42442002.

It is not an unprimeable number, because it can be changed into a prime (42442027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117715 + ... + 118074.

Almost surely, 242442020 is an apocalyptic number.

It is an amenable number.

42442020 is an abundant number, since it is smaller than the sum of its proper divisors (86299320).

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

42442020 is a wasteful number, since it uses less digits than its factorization.

42442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235804 (or 235799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42442020 is about 6514.7540245200. The cubic root of 42442020 is about 348.8178347255.

Adding to 42442020 its reverse (2024424), we get a palindrome (44466444).

The spelling of 42442020 in words is "forty-two million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 235789 471578 707367 943156 1178945 1414734 2122101 2357890 2829468 3536835 4244202 4715780 7073670 8488404 10610505 14147340 21221010 42442020