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41038144 = 267471949
BaseRepresentation
bin1001110010001…
…1000101000000
32212012221202021
42130203011000
541001210034
64023331224
71005550510
oct234430500
985187667
1041038144
112118a624
12118b0b14
13866b234
145643840
1539096b4
hex2723140

41038144 has 56 divisors (see below), whose sum is σ = 95097600. Its totient is φ = 17204736.

The previous prime is 41038139. The next prime is 41038181. The reversal of 41038144 is 44183014.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20082 + ... + 22030.

Almost surely, 241038144 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 41038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

41038144 is an abundant number, since it is smaller than the sum of its proper divisors (54059456).

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

41038144 is a wasteful number, since it uses less digits than its factorization.

41038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 41038144 is about 6406.1020909754. The cubic root of 41038144 is about 344.9286248761.

The spelling of 41038144 in words is "forty-one million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 1949 2632 3008 3898 5264 7796 10528 13643 15592 21056 27286 31184 54572 62368 91603 109144 124736 183206 218288 366412 436576 641221 732824 873152 1282442 1465648 2564884 2931296 5129768 5862592 10259536 20519072 41038144