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41248004 = 2272389541
BaseRepresentation
bin1001110101011…
…0010100000100
32212121121121212
42131112110010
541024414004
64032030552
71010413400
oct235262404
985547555
1041248004
1121313266
1211992458
138712905
14569a100
15394b96e
hex2756504

41248004 has 36 divisors (see below), whose sum is σ = 84340620. Its totient is φ = 17599680.

The previous prime is 41248003. The next prime is 41248037. The reversal of 41248004 is 40084214.

It can be written as a sum of positive squares in 2 ways, for example, as 12945604 + 28302400 = 3598^2 + 5320^2 .

It is not an unprimeable number, because it can be changed into a prime (41248003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 75974 + ... + 76514.

It is an arithmetic number, because the mean of its divisors is an integer number (2342795).

Almost surely, 241248004 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 41248004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42170310).

41248004 is an abundant number, since it is smaller than the sum of its proper divisors (43092616).

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

41248004 is a wasteful number, since it uses less digits than its factorization.

41248004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 41248004 is about 6422.4608990635. The cubic root of 41248004 is about 345.5155883986.

The spelling of 41248004 in words is "forty-one million, two hundred forty-eight thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 389 541 778 1082 1556 2164 2723 3787 5446 7574 10892 15148 19061 26509 38122 53018 76244 106036 210449 420898 841796 1473143 2946286 5892572 10312001 20624002 41248004