Search a number
-
+
42219824 = 2419294789
BaseRepresentation
bin1010000100001…
…1100100110000
32221102222201012
42201003210300
541302013244
64104530052
71021601603
oct241034460
987388635
1042219824
1121917419
1212180928
13899305a
14587033a
153a8e89e
hex2843930

42219824 has 40 divisors (see below), whose sum is σ = 89094000. Its totient is φ = 19305216.

The previous prime is 42219817. The next prime is 42219829. The reversal of 42219824 is 42891224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42219829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6422 + ... + 11210.

It is an arithmetic number, because the mean of its divisors is an integer number (2227350).

Almost surely, 242219824 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 42219824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44547000).

42219824 is an abundant number, since it is smaller than the sum of its proper divisors (46874176).

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

42219824 is a wasteful number, since it uses less digits than its factorization.

42219824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4839 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 42219824 is about 6497.6783546125. The cubic root of 42219824 is about 348.2080492854.

The spelling of 42219824 in words is "forty-two million, two hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 2204 4408 4789 8816 9578 19156 38312 76624 90991 138881 181982 277762 363964 555524 727928 1111048 1455856 2222096 2638739 5277478 10554956 21109912 42219824