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41920256 = 287149157
BaseRepresentation
bin1001111111101…
…0011100000000
32220212202210002
42133322130000
541212422011
64054255132
71016213330
oct237723400
986782702
1041920256
1121732344
12120574a8
1388b98b1
1457d30c0
153a30c3b
hex27fa700

41920256 has 72 divisors (see below), whose sum is σ = 96885600. Its totient is φ = 17731584.

The previous prime is 41920253. The next prime is 41920261. The reversal of 41920256 is 65202914.

It is a happy number.

41920256 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 not an unprimeable number, because it can be changed into a prime (41920253) 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, 266930 + ... + 267086.

Almost surely, 241920256 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 41920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48442800).

41920256 is an abundant number, since it is smaller than the sum of its proper divisors (54965344).

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

41920256 is a wasteful number, since it uses less digits than its factorization.

41920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 41920256 is about 6474.5853921313. The cubic root of 41920256 is about 347.3825312458.

The spelling of 41920256 in words is "forty-one million, nine hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 157 224 256 298 314 448 596 628 896 1043 1099 1192 1256 1792 2086 2198 2384 2512 4172 4396 4768 5024 8344 8792 9536 10048 16688 17584 19072 20096 23393 33376 35168 38144 40192 46786 66752 70336 93572 133504 140672 163751 187144 267008 281344 327502 374288 655004 748576 1310008 1497152 2620016 2994304 5240032 5988608 10480064 20960128 41920256