Search a number
-
+
42005430 = 2325563829
BaseRepresentation
bin1010000000111…
…1001110110110
32221001002121200
42200033032312
541223133210
64100153330
71020016545
oct240171666
987032550
1042005430
1121790335
1212098846
1389195ac
14581615c
153a4b0c0
hex280f3b6

42005430 has 48 divisors (see below), whose sum is σ = 109540080. Its totient is φ = 11168064.

The previous prime is 42005423. The next prime is 42005459. The reversal of 42005430 is 3450024.

It is a happy number.

42005430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420054302 = 3528912298969800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50256 + ... + 51084.

It is an arithmetic number, because the mean of its divisors is an integer number (2282085).

Almost surely, 242005430 is an apocalyptic number.

42005430 is an abundant number, since it is smaller than the sum of its proper divisors (67534650).

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

42005430 is a wasteful number, since it uses less digits than its factorization.

42005430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42005430 is about 6481.1596184634. The cubic root of 42005430 is about 347.6176438627.

Adding to 42005430 its reverse (3450024), we get a palindrome (45455454).

The spelling of 42005430 in words is "forty-two million, five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 563 829 1126 1658 1689 2487 2815 3378 4145 4974 5067 5630 7461 8290 8445 10134 12435 14922 16890 24870 25335 37305 50670 74610 466727 933454 1400181 2333635 2800362 4200543 4667270 7000905 8401086 14001810 21002715 42005430