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41056896 = 273313449
BaseRepresentation
bin1001110010011…
…1101010000000
32212020220110210
42130213222000
541002310041
64023554120
71005656256
oct234475200
985226423
1041056896
11211a2721
12118bb940
13867692a
14564a5d6
153910016
hex2727a80

41056896 has 64 divisors (see below), whose sum is σ = 112608000. Its totient is φ = 13240320.

The previous prime is 41056877. The next prime is 41056903. The reversal of 41056896 is 69865014.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10180 + ... + 13628.

It is an arithmetic number, because the mean of its divisors is an integer number (1759500).

Almost surely, 241056896 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 41056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56304000).

41056896 is an abundant number, since it is smaller than the sum of its proper divisors (71551104).

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

41056896 is a wasteful number, since it uses less digits than its factorization.

41056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 41056896 is about 6407.5655283423. The cubic root of 41056896 is about 344.9811541900.

The spelling of 41056896 in words is "forty-one million, fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3449 3968 5952 6898 10347 11904 13796 20694 27592 41388 55184 82776 106919 110368 165552 213838 220736 320757 331104 427676 441472 641514 662208 855352 1283028 1324416 1710704 2566056 3421408 5132112 6842816 10264224 13685632 20528448 41056896