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41248848 = 24319311459
BaseRepresentation
bin1001110101011…
…0100001010000
32212121122210010
42131112201100
541024430343
64032034520
71010416014
oct235264120
985548703
1041248848
1121313963
1211992a40
138713104
14569a544
15394bd33
hex2756850

41248848 has 80 divisors (see below), whose sum is σ = 115865600. Its totient is φ = 12597120.

The previous prime is 41248841. The next prime is 41248849. The reversal of 41248848 is 84884214.

It is a super-2 number, since 2×412488482 = 3402934922654208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41248841) 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 15 ways as a sum of consecutive naturals, for example, 27543 + ... + 29001.

It is an arithmetic number, because the mean of its divisors is an integer number (1448320).

Almost surely, 241248848 is an apocalyptic number.

41248848 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 41248848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57932800).

41248848 is an abundant number, since it is smaller than the sum of its proper divisors (74616752).

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

41248848 is a wasteful number, since it uses less digits than its factorization.

41248848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 41248848 is about 6422.5266056280. The cubic root of 41248848 is about 345.5179449827.

The spelling of 41248848 in words is "forty-one million, two hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1459 1488 1767 2356 2918 3534 4377 4712 5836 7068 8754 9424 11672 14136 17508 23344 27721 28272 35016 45229 55442 70032 83163 90458 110884 135687 166326 180916 221768 271374 332652 361832 443536 542748 665304 723664 859351 1085496 1330608 1718702 2170992 2578053 3437404 5156106 6874808 10312212 13749616 20624424 41248848