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41390448 = 24311277283
BaseRepresentation
bin1001110111100…
…1000101110000
32212212212000120
42131321011300
541043443243
64035050240
71011545601
oct235710560
985785016
1041390448
1121400290
1211a40980
1387626b8
1456d5da8
153978c83
hex2779170

41390448 has 80 divisors (see below), whose sum is σ = 117480576. Its totient is φ = 12453120.

The previous prime is 41390441. The next prime is 41390471. The reversal of 41390448 is 84409314.

It is a happy number.

41390448 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41390441) 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 15 ways as a sum of consecutive naturals, for example, 146115 + ... + 146397.

Almost surely, 241390448 is an apocalyptic number.

41390448 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 41390448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58740288).

41390448 is an abundant number, since it is smaller than the sum of its proper divisors (76090128).

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

41390448 is a wasteful number, since it uses less digits than its factorization.

41390448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 41390448 is about 6433.5408602107. The cubic root of 41390448 is about 345.9128607674.

The spelling of 41390448 in words is "forty-one million, three hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 277 283 528 554 566 831 849 1108 1132 1662 1698 2216 2264 3047 3113 3324 3396 4432 4528 6094 6226 6648 6792 9141 9339 12188 12452 13296 13584 18282 18678 24376 24904 36564 37356 48752 49808 73128 74712 78391 146256 149424 156782 235173 313564 470346 627128 862301 940692 1254256 1724602 1881384 2586903 3449204 3762768 5173806 6898408 10347612 13796816 20695224 41390448