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41793696 = 2532720731
BaseRepresentation
bin1001111101101…
…1100010100000
32220122100011200
42133123202200
541144344241
64051441200
71015145340
oct237334240
986570150
1041793696
112165624a
1211bb6200
1388740c9
14579cd20
153a084b6
hex27db8a0

41793696 has 72 divisors (see below), whose sum is σ = 135836064. Its totient is φ = 11940480.

The previous prime is 41793679. The next prime is 41793707. The reversal of 41793696 is 69639714.

41793696 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8350 + ... + 12381.

It is an arithmetic number, because the mean of its divisors is an integer number (1886612).

Almost surely, 241793696 is an apocalyptic number.

It is an amenable number.

41793696 is an abundant number, since it is smaller than the sum of its proper divisors (94042368).

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

41793696 is a wasteful number, since it uses less digits than its factorization.

41793696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20754 (or 20743 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 41793696 is about 6464.8044053939. The cubic root of 41793696 is about 347.0325886337.

It can be divided in two parts, 4179 and 3696, that added together give a triangular number (7875 = T125).

The spelling of 41793696 in words is "forty-one million, seven hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20731 41462 62193 82924 124386 145117 165848 186579 248772 290234 331696 373158 435351 497544 580468 663392 746316 870702 995088 1160936 1306053 1492632 1741404 1990176 2321872 2612106 2985264 3482808 4643744 5224212 5970528 6965616 10448424 13931232 20896848 41793696