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41235216 = 24311292693
BaseRepresentation
bin1001110101001…
…1001100010000
32212120222002020
42131103030100
541024011331
64031451440
71010331201
oct235231420
985528066
1041235216
11213046a0
1211986b80
138709b49
1456955a8
153947c96
hex2753310

41235216 has 80 divisors (see below), whose sum is σ = 120260160. Its totient is φ = 12060160.

The previous prime is 41235209. The next prime is 41235223. The reversal of 41235216 is 61253214.

It is an interprime number because it is at equal distance from previous prime (41235209) and next prime (41235223).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 13966 + ... + 16658.

It is an arithmetic number, because the mean of its divisors is an integer number (1503252).

Almost surely, 241235216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41235216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60130080).

41235216 is an abundant number, since it is smaller than the sum of its proper divisors (79024944).

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

41235216 is a wasteful number, since it uses less digits than its factorization.

41235216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 41235216 is about 6421.4652533514. The cubic root of 41235216 is about 345.4798783068.

It can be divided in two parts, 4123 and 5216, that added together give a palindrome (9339).

The spelling of 41235216 in words is "forty-one million, two hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 2693 3828 5104 5386 7656 8079 10772 15312 16158 21544 29623 32316 43088 59246 64632 78097 88869 118492 129264 156194 177738 234291 236984 312388 355476 468582 473968 624776 710952 859067 937164 1249552 1421904 1718134 1874328 2577201 3436268 3748656 5154402 6872536 10308804 13745072 20617608 41235216