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41797056 = 2637137227
BaseRepresentation
bin1001111101110…
…0010111000000
32220122111210010
42133130113000
541200001211
64051504520
71015161210
oct237342700
986574703
1041797056
1121658824
1211bb8140
1388757b2
1457a0240
153a094a6
hex27dc5c0

41797056 has 112 divisors (see below), whose sum is σ = 127869696. Its totient is φ = 11802624.

The previous prime is 41797051. The next prime is 41797069. The reversal of 41797056 is 65079714.

41797056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41797051) 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 15 ways as a sum of consecutive naturals, for example, 184015 + ... + 184241.

Almost surely, 241797056 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 41797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63934848).

41797056 is an abundant number, since it is smaller than the sum of its proper divisors (86072640).

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

41797056 is a wasteful number, since it uses less digits than its factorization.

41797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 41797056 is about 6465.0642688221. The cubic root of 41797056 is about 347.0418882679.

The spelling of 41797056 in words is "forty-one million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 137 168 192 224 227 274 336 411 448 454 548 672 681 822 908 959 1096 1344 1362 1589 1644 1816 1918 2192 2724 2877 3178 3288 3632 3836 4384 4767 5448 5754 6356 6576 7264 7672 8768 9534 10896 11508 12712 13152 14528 15344 19068 21792 23016 25424 26304 30688 31099 38136 43584 46032 50848 61376 62198 76272 92064 93297 101696 124396 152544 184128 186594 217693 248792 305088 373188 435386 497584 653079 746376 870772 995168 1306158 1492752 1741544 1990336 2612316 2985504 3483088 5224632 5971008 6966176 10449264 13932352 20898528 41797056