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42412050 = 232523072
BaseRepresentation
bin1010000111001…
…0100000010010
32221210202101200
42201302200102
541324141200
64113012030
71023332202
oct241624022
987722350
1042412050
1121a3888a
1212254016
138a2c6b5
1458c0402
153acb800
hex2872812

42412050 has 54 divisors (see below), whose sum is σ = 114319413. Its totient is φ = 11273040.

The previous prime is 42412037. The next prime is 42412067. The reversal of 42412050 is 5021424.

It can be written as a sum of positive squares in 2 ways, for example, as 41563809 + 848241 = 6447^2 + 921^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4605.

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 26 ways as a sum of consecutive naturals, for example, 137997 + ... + 138303.

Almost surely, 242412050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42412050

42412050 is an abundant number, since it is smaller than the sum of its proper divisors (71907363).

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

42412050 is a wasteful number, since it uses less digits than its factorization.

42412050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42412050 is about 6512.4534547281. The cubic root of 42412050 is about 348.7357106721.

Multiplying 42412050 by its sum of digits (18), we get a square (763416900 = 276302).

42412050 divided by its sum of digits (18) gives a square (2356225 = 15352).

Adding to 42412050 its reverse (5021424), we get a palindrome (47433474).

The spelling of 42412050 in words is "forty-two million, four hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 307 450 614 921 1535 1842 2763 3070 4605 5526 7675 9210 13815 15350 23025 27630 46050 69075 94249 138150 188498 282747 471245 565494 848241 942490 1413735 1696482 2356225 2827470 4241205 4712450 7068675 8482410 14137350 21206025 42412050