[go: up one dir, main page]

Search a number
-
+
42820530 = 2352983593
BaseRepresentation
bin1010001101011…
…0001110110010
32222120111201120
42203112032302
541430224110
64125443110
71026653124
oct243261662
988514646
1042820530
1122197775
1212410496
138b435bc
145989214
153b5c870
hex28d63b2

42820530 has 64 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 10873856.

The previous prime is 42820513. The next prime is 42820537. The reversal of 42820530 is 3502824.

42820530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42820530.

It is not an unprimeable number, because it can be changed into a prime (42820537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71914 + ... + 72506.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 242820530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42820530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887680).

42820530 is an abundant number, since it is smaller than the sum of its proper divisors (64954830).

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

42820530 is a wasteful number, since it uses less digits than its factorization.

42820530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42820530 is about 6543.7397564390. The cubic root of 42820530 is about 349.8517195015.

The spelling of 42820530 in words is "forty-two million, eight hundred twenty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 83 87 145 166 174 249 290 415 435 498 593 830 870 1186 1245 1779 2407 2490 2965 3558 4814 5930 7221 8895 12035 14442 17197 17790 24070 34394 36105 49219 51591 72210 85985 98438 103182 147657 171970 246095 257955 295314 492190 515910 738285 1427351 1476570 2854702 4282053 7136755 8564106 14273510 21410265 42820530