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39797856 = 25327191039
BaseRepresentation
bin1001011111010…
…0010001100000
32202212221101200
42113310101200
540142012411
63541001200
7662163510
oct227642140
982787350
1039797856
112051279a
12113b3200
138325837
1453dd840
153761e56
hex25f4460

39797856 has 144 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 10761984.

The previous prime is 39797819. The next prime is 39797869. The reversal of 39797856 is 65879793.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 37785 + ... + 38823.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 239797856 is an apocalyptic number.

39797856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39797856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

39797856 is an abundant number, since it is smaller than the sum of its proper divisors (96483744).

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

39797856 is a wasteful number, since it uses less digits than its factorization.

39797856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 39797856 is about 6308.5541925230. The cubic root of 39797856 is about 341.4181138417.

The spelling of 39797856 in words is "thirty-nine million, seven hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1039 1064 1197 1368 1596 1824 2016 2078 2128 2394 2736 3117 3192 4156 4256 4788 5472 6234 6384 7273 8312 9351 9576 12468 12768 14546 16624 18702 19152 19741 21819 24936 29092 33248 37404 38304 39482 43638 49872 58184 59223 65457 74808 78964 87276 99744 116368 118446 130914 138187 149616 157928 174552 177669 232736 236892 261828 276374 299232 315856 349104 355338 414561 473784 523656 552748 631712 698208 710676 829122 947568 1047312 1105496 1243683 1421352 1658244 1895136 2094624 2210992 2487366 2842704 3316488 4421984 4974732 5685408 6632976 9949464 13265952 19898928 39797856