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41214888 = 233211134003
BaseRepresentation
bin1001110100111…
…0001110101000
32212112221012100
42131032032220
541022334023
64031213400
71010215011
oct235161650
985487170
1041214888
11212a03a0
1211977260
138700810
14568c008
153941c43
hex274e3a8

41214888 has 96 divisors (see below), whose sum is σ = 131171040. Its totient is φ = 11525760.

The previous prime is 41214869. The next prime is 41214889. The reversal of 41214888 is 88841214.

It is a happy number.

41214888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (41214889) 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 23 ways as a sum of consecutive naturals, for example, 8295 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 241214888 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 41214888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65585520).

41214888 is an abundant number, since it is smaller than the sum of its proper divisors (89956152).

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

41214888 is a wasteful number, since it uses less digits than its factorization.

41214888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4032 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 41214888 is about 6419.8822419107. The cubic root of 41214888 is about 345.4230978005.

It can be divided in two parts, 4121 and 4888, that added together give a palindrome (9009).

The spelling of 41214888 in words is "forty-one million, two hundred fourteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 4003 5148 8006 10296 12009 16012 24018 32024 36027 44033 48036 52039 72054 88066 96072 104078 132099 144108 156117 176132 208156 264198 288216 312234 352264 396297 416312 468351 528396 572429 624468 792594 936702 1056792 1144858 1248936 1585188 1717287 1873404 2289716 3170376 3434574 3746808 4579432 5151861 6869148 10303722 13738296 20607444 41214888