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42123424 = 2571731087
BaseRepresentation
bin1010000010110…
…0000010100000
32221021002110211
42200230002200
541240422144
64102503504
71021020550
oct240540240
987232424
1042123424
1121860a52
1212134b94
13895b205
145847160
153a71034
hex282c0a0

42123424 has 48 divisors (see below), whose sum is σ = 95413248. Its totient is φ = 17932032.

The previous prime is 42123401. The next prime is 42123449. The reversal of 42123424 is 42432124.

Adding to 42123424 its reverse (42432124), we get a palindrome (84555548).

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42123395 and 42123404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38209 + ... + 39295.

It is an arithmetic number, because the mean of its divisors is an integer number (1987776).

Almost surely, 242123424 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 42123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47706624).

42123424 is an abundant number, since it is smaller than the sum of its proper divisors (53289824).

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

42123424 is a wasteful number, since it uses less digits than its factorization.

42123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 42123424 is about 6490.2560812344. The cubic root of 42123424 is about 347.9428276184.

The spelling of 42123424 in words is "forty-two million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 1087 1211 1384 2174 2422 2768 4348 4844 5536 7609 8696 9688 15218 17392 19376 30436 34784 38752 60872 121744 188051 243488 376102 752204 1316357 1504408 2632714 3008816 5265428 6017632 10530856 21061712 42123424