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41213250 = 23253131409
BaseRepresentation
bin1001110100110…
…1110101000010
32212112211221200
42131031311002
541022311000
64031202030
71010210151
oct235156502
985484850
1041213250
112129a141
1211976316
1386ccb50
14568b598
153941500
hex274dd42

41213250 has 96 divisors (see below), whose sum is σ = 120098160. Its totient is φ = 10137600.

The previous prime is 41213243. The next prime is 41213257. The reversal of 41213250 is 5231214.

41213250 is a `hidden beast` number, since 412 + 1 + 3 + 250 = 666.

41213250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41213243) and next prime (41213257).

It can be written as a sum of positive squares in 8 ways, for example, as 4888521 + 36324729 = 2211^2 + 6027^2 .

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 (41213257) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28546 + ... + 29954.

Almost surely, 241213250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41213250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60049080).

41213250 is an abundant number, since it is smaller than the sum of its proper divisors (78884910).

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

41213250 is a wasteful number, since it uses less digits than its factorization.

41213250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1432 counting only the distinct ones).

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

The square root of 41213250 is about 6419.7546682097. The cubic root of 41213250 is about 345.4185216990.

Adding to 41213250 its reverse (5231214), we get a palindrome (46444464).

The spelling of 41213250 in words is "forty-one million, two hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1125 1170 1409 1625 1950 2250 2818 2925 3250 4227 4875 5850 7045 8454 9750 12681 14090 14625 18317 21135 25362 29250 35225 36634 42270 54951 63405 70450 91585 105675 109902 126810 164853 176125 183170 211350 274755 317025 329706 352250 457925 528375 549510 634050 824265 915850 1056750 1373775 1585125 1648530 2289625 2747550 3170250 4121325 4579250 6868875 8242650 13737750 20606625 41213250