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41214112 = 254767409
BaseRepresentation
bin1001110100111…
…0000010100000
32212112220010121
42131032002200
541022322422
64031210024
71010212522
oct235160240
985486117
1041214112
112129a855
1211976914
138700364
14568ba12
1539418c7
hex274e0a0

41214112 has 48 divisors (see below), whose sum is σ = 84309120. Its totient is φ = 19819008.

The previous prime is 41214109. The next prime is 41214113. The reversal of 41214112 is 21141214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is not an unprimeable number, because it can be changed into a prime (41214113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100564 + ... + 100972.

It is an arithmetic number, because the mean of its divisors is an integer number (1756440).

Almost surely, 241214112 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 41214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42154560).

41214112 is an abundant number, since it is smaller than the sum of its proper divisors (43095008).

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

41214112 is a wasteful number, since it uses less digits than its factorization.

41214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 41214112 is about 6419.8218043806. The cubic root of 41214112 is about 345.4209298945.

Adding to 41214112 its reverse (21141214), we get a palindrome (62355326).

The spelling of 41214112 in words is "forty-one million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 67 94 134 188 268 376 409 536 752 818 1072 1504 1636 2144 3149 3272 6298 6544 12596 13088 19223 25192 27403 38446 50384 54806 76892 100768 109612 153784 219224 307568 438448 615136 876896 1287941 2575882 5151764 10303528 20607056 41214112