Search a number
-
+
42224387382 = 23219229224071
BaseRepresentation
bin100111010100110001…
…010000010100110110
311000222200122010100100
4213110301100110312
51142433420344012
631221515054530
73023234241132
oct472461202466
9130880563310
1042224387382
11169a8625221
128224a41446
133c9bb72308
142087b963c2
151171e1e8dc
hex9d4c50536

42224387382 has 72 divisors (see below), whose sum is σ = 99884575440. Its totient is φ = 12874165920.

The previous prime is 42224387333. The next prime is 42224387389. The reversal of 42224387382 is 28378342224.

42224387382 is a `hidden beast` number, since 4 + 22 + 243 + 8 + 7 + 382 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224387389) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76407 + ... + 300477.

It is an arithmetic number, because the mean of its divisors is an integer number (1387285770).

Almost surely, 242224387382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224387382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49942287720).

42224387382 is an abundant number, since it is smaller than the sum of its proper divisors (57660188058).

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

42224387382 is a wasteful number, since it uses less digits than its factorization.

42224387382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224146 (or 224124 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 42224387382 in words is "forty-two billion, two hundred twenty-four million, three hundred eighty-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 361 522 551 722 1083 1102 1653 2166 3249 3306 4959 6498 9918 10469 20938 31407 62814 94221 188442 224071 448142 672213 1344426 2016639 4033278 4257349 6498059 8514698 12772047 12996118 19494177 25544094 38316141 38988354 58482531 76632282 80889631 116965062 123463121 161779262 242668893 246926242 370389363 485337786 728006679 740778726 1111168089 1456013358 2222336178 2345799299 4691598598 7037397897 14074795794 21112193691 42224387382