Search a number
-
+
42060032 = 2873479
BaseRepresentation
bin1010000001110…
…0100100000000
32221010212111222
42200130210000
541231410112
64101254212
71020335000
oct240344400
987125458
1042060032
1121818363
1212104368
1389383c1
14582c000
153a5c372
hex281c900

42060032 has 72 divisors (see below), whose sum is σ = 98112000. Its totient is φ = 17988096.

The previous prime is 42060019. The next prime is 42060037. The reversal of 42060032 is 23006024.

Adding to 42060032 its reverse (23006024), we get a palindrome (65066056).

It is not an unprimeable number, because it can be changed into a prime (42060037) by changing a digit.

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, 87569 + ... + 88047.

Almost surely, 242060032 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 42060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056000).

42060032 is an abundant number, since it is smaller than the sum of its proper divisors (56051968).

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

42060032 is an frugal number, since it uses more digits than its factorization.

42060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42060032 is about 6485.3706139279. The cubic root of 42060032 is about 347.7681990040.

The spelling of 42060032 in words is "forty-two million, sixty thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 479 686 784 896 958 1372 1568 1792 1916 2744 3136 3353 3832 5488 6272 6706 7664 10976 12544 13412 15328 21952 23471 26824 30656 43904 46942 53648 61312 87808 93884 107296 122624 164297 187768 214592 328594 375536 429184 657188 751072 858368 1314376 1502144 2628752 3004288 5257504 6008576 10515008 21030016 42060032