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42022420 = 22511251761
BaseRepresentation
bin1010000001001…
…1011000010100
32221001221220221
42200103120110
541224204140
64100404124
71020120226
oct240233024
987057827
1042022420
11217a2080
12120a6644
13892424b
14581c416
153a5114a
hex2813614

42022420 has 48 divisors (see below), whose sum is σ = 96780096. Its totient is φ = 15200000.

The previous prime is 42022399. The next prime is 42022423. The reversal of 42022420 is 2422024.

It is a junction number, because it is equal to n+sod(n) for n = 42022394 and 42022403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42022423) 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, 54840 + ... + 55600.

It is an arithmetic number, because the mean of its divisors is an integer number (2016252).

Almost surely, 242022420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48390048).

42022420 is an abundant number, since it is smaller than the sum of its proper divisors (54757676).

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

42022420 is a wasteful number, since it uses less digits than its factorization.

42022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42022420 is about 6482.4702081845. The cubic root of 42022420 is about 347.6645046906.

Adding to 42022420 its reverse (2422024), we get a palindrome (44444444).

The spelling of 42022420 in words is "forty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 761 1004 1255 1522 2510 2761 3044 3805 5020 5522 7610 8371 11044 13805 15220 16742 27610 33484 41855 55220 83710 167420 191011 382022 764044 955055 1910110 2101121 3820220 4202242 8404484 10505605 21011210 42022420