Search a number
-
+
42034050 = 23252293221
BaseRepresentation
bin1010000001011…
…0001110000010
32221002112212200
42200112032002
541230042200
64100534030
71020166152
oct240261602
987075780
1042034050
11217aa893
12120b1316
138929626
145822762
153a54800
hex2816382

42034050 has 72 divisors (see below), whose sum is σ = 116861940. Its totient is φ = 10819200.

The previous prime is 42034039. The next prime is 42034051. The reversal of 42034050 is 5043024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21594609 + 20439441 = 4647^2 + 4521^2 .

It is a super-2 number, since 2×420340502 = 3533722718805000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42034051) 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, 11440 + ... + 14660.

Almost surely, 242034050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42034050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58430970).

42034050 is an abundant number, since it is smaller than the sum of its proper divisors (74827890).

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

42034050 is a wasteful number, since it uses less digits than its factorization.

42034050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3260 counting only the distinct ones).

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

The square root of 42034050 is about 6483.3671807171. The cubic root of 42034050 is about 347.6965745971.

Adding to 42034050 its reverse (5043024), we get a palindrome (47077074).

The spelling of 42034050 in words is "forty-two million, thirty-four thousand, fifty", and thus it is an eban number.

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 3221 4350 6442 6525 9663 13050 16105 19326 28989 32210 48315 57978 80525 93409 96630 144945 161050 186818 241575 280227 289890 467045 483150 560454 724725 840681 934090 1401135 1449450 1681362 2335225 2802270 4203405 4670450 7005675 8406810 14011350 21017025 42034050