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42433420 = 2253189769
BaseRepresentation
bin1010000111011…
…1101110001100
32221211211201011
42201313232030
541330332140
64113255004
71023451411
oct241675614
987754634
1042433420
1121a52947
1212264464
138a39343
1458c8108
153ad2cea
hex2877b8c

42433420 has 48 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 16220160.

The previous prime is 42433397. The next prime is 42433429. The reversal of 42433420 is 2433424.

It is a junction number, because it is equal to n+sod(n) for n = 42433391 and 42433400.

It is not an unprimeable number, because it can be changed into a prime (42433429) 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, 54796 + ... + 55564.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 242433420 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 42433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

42433420 is an abundant number, since it is smaller than the sum of its proper divisors (50705780).

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

42433420 is a wasteful number, since it uses less digits than its factorization.

42433420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 42433420 is about 6514.0939508116. The cubic root of 42433420 is about 348.7942728873.

Adding to 42433420 its reverse (2433424), we get a palindrome (44866844).

The spelling of 42433420 in words is "forty-two million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 310 356 445 620 769 890 1538 1780 2759 3076 3845 5518 7690 11036 13795 15380 23839 27590 47678 55180 68441 95356 119195 136882 238390 273764 342205 476780 684410 1368820 2121671 4243342 8486684 10608355 21216710 42433420