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41315440 = 2451721787
BaseRepresentation
bin1001110110011…
…0110001110000
32212202001010111
42131212301300
541034043230
64033311104
71011114115
oct235466160
985661114
1041315440
11213599a1
1211a05494
13873750a
1456b690c
15396192a
hex2766c70

41315440 has 60 divisors (see below), whose sum is σ = 102098376. Its totient is φ = 15545344.

The previous prime is 41315437. The next prime is 41315471. The reversal of 41315440 is 4451314.

41315440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22227 + ... + 24013.

Almost surely, 241315440 is an apocalyptic number.

41315440 is a gapful number since it is divisible by the number (40) 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 41315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51049188).

41315440 is an abundant number, since it is smaller than the sum of its proper divisors (60782936).

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

41315440 is a wasteful number, since it uses less digits than its factorization.

41315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 41315440 is about 6427.7087675158. The cubic root of 41315440 is about 345.7037793471.

Adding to 41315440 its reverse (4451314), we get a palindrome (45766754).

The spelling of 41315440 in words is "forty-one million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 1787 2312 2890 3574 4624 5780 7148 8935 11560 14296 17870 23120 28592 30379 35740 60758 71480 121516 142960 151895 243032 303790 486064 516443 607580 1032886 1215160 2065772 2430320 2582215 4131544 5164430 8263088 10328860 20657720 41315440