Search a number
-
+
42013576 = 231129101163
BaseRepresentation
bin1010000001000…
…1001110001000
32221001111210101
42200101032020
541223413301
64100255144
71020052363
oct240211610
987044711
1042013576
1121796470
12120a14b4
138920207
1458190da
153a4d701
hex2811388

42013576 has 64 divisors (see below), whose sum is σ = 90331200. Its totient is φ = 18144000.

The previous prime is 42013553. The next prime is 42013583. The reversal of 42013576 is 67531024.

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, 257671 + ... + 257833.

It is an arithmetic number, because the mean of its divisors is an integer number (1411425).

Almost surely, 242013576 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 42013576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45165600).

42013576 is an abundant number, since it is smaller than the sum of its proper divisors (48317624).

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

42013576 is a wasteful number, since it uses less digits than its factorization.

42013576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 42013576 is about 6481.7880249203. The cubic root of 42013576 is about 347.6401132617.

It can be divided in two parts, 4201 and 3576, that added together give a palindrome (7777).

The spelling of 42013576 in words is "forty-two million, thirteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 101 116 163 202 232 319 326 404 638 652 808 1111 1276 1304 1793 2222 2552 2929 3586 4444 4727 5858 7172 8888 9454 11716 14344 16463 18908 23432 32219 32926 37816 51997 64438 65852 103994 128876 131704 181093 207988 257752 362186 415976 477427 724372 954854 1448744 1909708 3819416 5251697 10503394 21006788 42013576