Search a number
-
+
42641312 = 257414643
BaseRepresentation
bin1010001010101…
…0011110100000
32222020101212212
42202222132200
541404010222
64121541252
71025305460
oct242523640
988211785
1042641312
112208505a
1212344828
138aacb5c
14593dba0
153b246e2
hex28aa7a0

42641312 has 48 divisors (see below), whose sum is σ = 98304192. Its totient is φ = 17825280.

The previous prime is 42641239. The next prime is 42641327. The reversal of 42641312 is 21314624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6863 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (2048004).

Almost surely, 242641312 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 42641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49152096).

42641312 is an abundant number, since it is smaller than the sum of its proper divisors (55662880).

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

42641312 is a wasteful number, since it uses less digits than its factorization.

42641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4693 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 42641312 is about 6530.0315466313. The cubic root of 42641312 is about 349.3629554872.

Adding to 42641312 its reverse (21314624), we get a palindrome (63955936).

The spelling of 42641312 in words is "forty-two million, six hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 4643 9184 9286 18572 32501 37144 65002 74288 130004 148576 190363 260008 380726 520016 761452 1040032 1332541 1522904 2665082 3045808 5330164 6091616 10660328 21320656 42641312