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41241312 = 253472273
BaseRepresentation
bin1001110101010…
…0101011100000
32212121021110000
42131110223200
541024210222
64031540000
71010355030
oct235245340
985537400
1041241312
1121309232
121198a600
13870c858
1456978c0
1539499ac
hex2754ae0

41241312 has 120 divisors (see below), whose sum is σ = 138677616. Its totient is φ = 11778048.

The previous prime is 41241311. The next prime is 41241313. The reversal of 41241312 is 21314214.

It is an interprime number because it is at equal distance from previous prime (41241311) and next prime (41241313).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41241311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17008 + ... + 19280.

Almost surely, 241241312 is an apocalyptic number.

41241312 is a gapful number since it is divisible by the number (42) 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 41241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69338808).

41241312 is an abundant number, since it is smaller than the sum of its proper divisors (97436304).

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

41241312 is a wasteful number, since it uses less digits than its factorization.

41241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2285 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 41241312 is about 6421.9398938327. The cubic root of 41241312 is about 345.4969021177.

Adding to 41241312 its reverse (21314214), we get a palindrome (62555526).

The spelling of 41241312 in words is "forty-one million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2273 2592 3024 4536 4546 6048 6819 9072 9092 13638 15911 18144 18184 20457 27276 31822 36368 40914 47733 54552 61371 63644 72736 81828 95466 109104 122742 127288 143199 163656 184113 190932 218208 245484 254576 286398 327312 368226 381864 429597 490968 509152 572796 654624 736452 763728 859194 981936 1145592 1288791 1472904 1527456 1718388 1963872 2291184 2577582 2945808 3436776 4582368 5155164 5891616 6873552 10310328 13747104 20620656 41241312