Search a number
-
+
42251008 = 281511093
BaseRepresentation
bin1010000100101…
…1001100000000
32221111120111011
42201023030000
541304013013
64105330304
71022061532
oct241131400
987446434
1042251008
1121938898
1212196994
1389a42c7
14587b852
153a98c3d
hex284b300

42251008 has 36 divisors (see below), whose sum is σ = 84973168. Its totient is φ = 20966400.

The previous prime is 42250997. The next prime is 42251009. The reversal of 42251008 is 80015224.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42251008.

It is not an unprimeable number, because it can be changed into a prime (42251009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38110 + ... + 39202.

Almost surely, 242251008 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 42251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42486584).

42251008 is an abundant number, since it is smaller than the sum of its proper divisors (42722160).

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

42251008 is a wasteful number, since it uses less digits than its factorization.

42251008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 42251008 is about 6500.0775379991. The cubic root of 42251008 is about 348.2937582129.

The spelling of 42251008 in words is "forty-two million, two hundred fifty-one thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 604 1093 1208 2186 2416 4372 4832 8744 9664 17488 19328 34976 38656 69952 139904 165043 279808 330086 660172 1320344 2640688 5281376 10562752 21125504 42251008