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41235040 = 2557113347
BaseRepresentation
bin1001110101001…
…1001001100000
32212120221211201
42131103021200
541024010130
64031450544
71010330530
oct235231140
985527751
1041235040
1121304550
1211986a54
138709a42
1456954c0
153947bca
hex2753260

41235040 has 96 divisors (see below), whose sum is σ = 121492224. Its totient is φ = 12848640.

The previous prime is 41235037. The next prime is 41235049. The reversal of 41235040 is 4053214.

It is a junction number, because it is equal to n+sod(n) for n = 41234999 and 41235017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41235049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10647 + ... + 13993.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 241235040 is an apocalyptic number.

41235040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112).

41235040 is an abundant number, since it is smaller than the sum of its proper divisors (80257184).

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

41235040 is a wasteful number, since it uses less digits than its factorization.

41235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 41235040 is about 6421.4515492994. The cubic root of 41235040 is about 345.4793867808.

Adding to 41235040 its reverse (4053214), we get a palindrome (45288254).

The spelling of 41235040 in words is "forty-one million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 3347 6160 6694 12320 13388 16735 23429 26776 33470 36817 46858 53552 66940 73634 93716 107104 117145 133880 147268 184085 187432 234290 257719 267760 294536 368170 374864 468580 515438 535520 589072 736340 749728 937160 1030876 1178144 1288595 1472680 1874320 2061752 2577190 2945360 3748640 4123504 5154380 5890720 8247008 10308760 20617520 41235040