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41894848 = 2619131263
BaseRepresentation
bin1001111111010…
…0001111000000
32220211110221001
42133310033000
541211113343
64053541344
71016046262
oct237641700
986743831
1041894848
1121715246
1212044854
1388ab168
1457c7b32
153a2844d
hex27f43c0

41894848 has 56 divisors (see below), whose sum is σ = 88513920. Its totient is φ = 19618560.

The previous prime is 41894837. The next prime is 41894849. The reversal of 41894848 is 84849814.

41894848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41894798 and 41894807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41894849) 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, 159165 + ... + 159427.

Almost surely, 241894848 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 41894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44256960).

41894848 is an abundant number, since it is smaller than the sum of its proper divisors (46619072).

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

41894848 is a wasteful number, since it uses less digits than its factorization.

41894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 41894848 is about 6472.6229613658. The cubic root of 41894848 is about 347.3123338440.

It can be divided in two parts, 418 and 94848, that added together give a triangular number (95266 = T436).

The spelling of 41894848 in words is "forty-one million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 131 152 262 263 304 524 526 608 1048 1052 1216 2096 2104 2489 4192 4208 4978 4997 8384 8416 9956 9994 16832 19912 19988 34453 39824 39976 68906 79648 79952 137812 159296 159904 275624 319808 551248 654607 1102496 1309214 2204992 2618428 5236856 10473712 20947424 41894848