Search a number
-
+
42213150 = 2345271489
BaseRepresentation
bin1010000100000…
…1111100011110
32221102122120000
42201001330132
541301310100
64104435130
71021543260
oct241017436
987378500
1042213150
1121912401
1212178aa6
13898ccc5
14586bb30
153a8c900
hex2841f1e

42213150 has 120 divisors (see below), whose sum is σ = 134135760. Its totient is φ = 9642240.

The previous prime is 42213137. The next prime is 42213161. The reversal of 42213150 is 5131224.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27606 + ... + 29094.

It is an arithmetic number, because the mean of its divisors is an integer number (1117798).

Almost surely, 242213150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67067880).

42213150 is an abundant number, since it is smaller than the sum of its proper divisors (91922610).

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

42213150 is a wasteful number, since it uses less digits than its factorization.

42213150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42213150 is about 6497.1647662654. The cubic root of 42213150 is about 348.1897003775.

Adding to 42213150 its reverse (5131224), we get a palindrome (47344374).

The spelling of 42213150 in words is "forty-two million, two hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1489 1575 1890 2025 2835 2978 3150 4050 4467 4725 5670 7445 8934 9450 10423 13401 14175 14890 20846 22335 26802 28350 31269 37225 40203 44670 52115 62538 67005 74450 80406 93807 104230 111675 120609 134010 156345 187614 201015 223350 241218 260575 281421 312690 335025 402030 469035 521150 562842 603045 670050 781725 844263 938070 1005075 1206090 1407105 1563450 1688526 2010150 2345175 2814210 3015225 4221315 4690350 6030450 7035525 8442630 14071050 21106575 42213150