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41238528 = 2143839
BaseRepresentation
bin1001110101010…
…0000000000000
32212121010121220
42131110000000
541024113103
64031515040
71010343642
oct235240000
985533556
1041238528
1121307131
1211988a80
13870b4c6
145696892
153948c53
hex2754000

41238528 has 60 divisors (see below), whose sum is σ = 110097120. Its totient is φ = 13729792.

The previous prime is 41238499. The next prime is 41238577. The reversal of 41238528 is 82583214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48733 + ... + 49571.

It is an arithmetic number, because the mean of its divisors is an integer number (1834952).

Almost surely, 241238528 is an apocalyptic number.

41238528 is a gapful number since it is divisible by the number (48) 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 41238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55048560).

41238528 is an abundant number, since it is smaller than the sum of its proper divisors (68858592).

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

41238528 is an frugal number, since it uses more digits than its factorization.

41238528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 844 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 41238528 is about 6421.7231332408. The cubic root of 41238528 is about 345.4891276720.

The spelling of 41238528 in words is "forty-one million, two hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 839 1024 1536 1678 2048 2517 3072 3356 4096 5034 6144 6712 8192 10068 12288 13424 16384 20136 24576 26848 40272 49152 53696 80544 107392 161088 214784 322176 429568 644352 859136 1288704 1718272 2577408 3436544 5154816 6873088 10309632 13746176 20619264 41238528