Search a number
-
+
42187382256 = 2435839150523
BaseRepresentation
bin100111010010100100…
…000101110111110000
311000220010000001212010
4213102210011313300
51142344432213011
631214114002520
73022304555355
oct472244056760
9130803001763
1042187382256
111698974a778
128214576440
133c942b69a6
142082cc262c
15116da601a6
hex9d2905df0

42187382256 has 40 divisors (see below), whose sum is σ = 109003459840. Its totient is φ = 14059958976.

The previous prime is 42187382249. The next prime is 42187382261. The reversal of 42187382256 is 65228378124.

It is a super-2 number, since 2×421873822562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205011 + ... + 355533.

It is an arithmetic number, because the mean of its divisors is an integer number (2725086496).

Almost surely, 242187382256 is an apocalyptic number.

It is an amenable number.

42187382256 is an abundant number, since it is smaller than the sum of its proper divisors (66816077584).

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

42187382256 is a wasteful number, since it uses less digits than its factorization.

42187382256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156373 (or 156367 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 42187382256 in words is "forty-two billion, one hundred eighty-seven million, three hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 5839 11678 17517 23356 35034 46712 70068 93424 140136 150523 280272 301046 451569 602092 903138 1204184 1806276 2408368 3612552 7225104 878903797 1757807594 2636711391 3515615188 5273422782 7031230376 10546845564 14062460752 21093691128 42187382256