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41923648 = 2613411229
BaseRepresentation
bin1001111111101…
…1010001000000
32220212221102201
42133323101000
541213024043
64054322544
71016226244
oct237732100
986787381
1041923648
1121734948
1212059454
1388bb2c0
1457d4424
153a31c4d
hex27fb440

41923648 has 56 divisors (see below), whose sum is σ = 91851480. Its totient is φ = 18862080.

The previous prime is 41923643. The next prime is 41923663. The reversal of 41923648 is 84632914.

41923648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 39337984 = 1608^2 + 6272^2 .

It is not an unprimeable number, because it can be changed into a prime (41923643) 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 7 ways as a sum of consecutive naturals, for example, 33498 + ... + 34726.

It is an arithmetic number, because the mean of its divisors is an integer number (1640205).

Almost surely, 241923648 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 41923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45925740).

41923648 is an abundant number, since it is smaller than the sum of its proper divisors (49927832).

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

41923648 is a wasteful number, since it uses less digits than its factorization.

41923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 41923648 is about 6474.8473341076. The cubic root of 41923648 is about 347.3919005411.

The spelling of 41923648 in words is "forty-one million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1229 1312 2132 2458 2624 4264 4916 8528 9832 15977 17056 19664 31954 34112 39328 50389 63908 78656 100778 127816 201556 255632 403112 511264 655057 806224 1022528 1310114 1612448 2620228 3224896 5240456 10480912 20961824 41923648