Search a number
-
+
42105232 = 2413475973
BaseRepresentation
bin1010000010011…
…1100110010000
32221020011112001
42200213212100
541234331412
64102243344
71020613531
oct240474620
987204461
1042105232
1121849314
1212126554
138952b50
145840688
153a6a957
hex2827990

42105232 has 80 divisors (see below), whose sum is σ = 92494080. Its totient is φ = 18441216.

The previous prime is 42105229. The next prime is 42105247. The reversal of 42105232 is 23250124.

42105232 is a Rhonda number in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576748 + ... + 576820.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 242105232 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 42105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247040).

42105232 is an abundant number, since it is smaller than the sum of its proper divisors (50388848).

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

42105232 is a wasteful number, since it uses less digits than its factorization.

42105232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42105232 is about 6488.8544443530. The cubic root of 42105232 is about 347.8927312843.

Adding to 42105232 its reverse (23250124), we get a palindrome (65355356).

The spelling of 42105232 in words is "forty-two million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 47 52 59 73 94 104 118 146 188 208 236 292 376 472 584 611 752 767 944 949 1168 1222 1534 1898 2444 2773 3068 3431 3796 4307 4888 5546 6136 6862 7592 8614 9776 11092 12272 13724 15184 17228 22184 27448 34456 36049 44368 44603 54896 55991 68912 72098 89206 111982 144196 178412 202429 223964 288392 356824 404858 447928 576784 713648 809716 895856 1619432 2631577 3238864 5263154 10526308 21052616 42105232