Search a number
-
+
42050340 = 22345101257
BaseRepresentation
bin1010000001101…
…0001100100100
32221010101020000
42200122030210
541231102330
64101141300
71020264513
oct240321444
987111200
1042050340
1121811052
12120ba830
138933b77
14582867a
153a59560
hex281a324

42050340 has 120 divisors (see below), whose sum is σ = 133737912. Its totient is φ = 11059200.

The previous prime is 42050317. The next prime is 42050381. The reversal of 42050340 is 4305024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 14424804 = 5256^2 + 3798^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163492 + ... + 163748.

Almost surely, 242050340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42050340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66868956).

42050340 is an abundant number, since it is smaller than the sum of its proper divisors (91687572).

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

42050340 is a wasteful number, since it uses less digits than its factorization.

42050340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

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

The square root of 42050340 is about 6484.6233506658. The cubic root of 42050340 is about 347.7414845822.

Adding to 42050340 its reverse (4305024), we get a palindrome (46355364).

The spelling of 42050340 in words is "forty-two million, fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 257 270 303 324 404 405 505 514 540 606 771 810 909 1010 1028 1212 1285 1515 1542 1620 1818 2020 2313 2570 2727 3030 3084 3636 3855 4545 4626 5140 5454 6060 6939 7710 8181 9090 9252 10908 11565 13635 13878 15420 16362 18180 20817 23130 25957 27270 27756 32724 34695 40905 41634 46260 51914 54540 69390 77871 81810 83268 103828 104085 129785 138780 155742 163620 208170 233613 259570 311484 389355 416340 467226 519140 700839 778710 934452 1168065 1401678 1557420 2102517 2336130 2803356 3504195 4205034 4672260 7008390 8410068 10512585 14016780 21025170 42050340