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41664096 = 2532144667
BaseRepresentation
bin1001111011101…
…1111001100000
32220101202101200
42132323321200
541131222341
64045001200
71014065445
oct236737140
986352350
1041664096
1121577941
1211b53200
13882a116
1457679cc
1539cedb6
hex27bbe60

41664096 has 36 divisors (see below), whose sum is σ = 118483092. Its totient is φ = 13887936.

The previous prime is 41664079. The next prime is 41664101. The reversal of 41664096 is 69046614.

41664096 is a `hidden beast` number, since 4 + 1 + 6 + 640 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41664096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72046 + ... + 72621.

It is an arithmetic number, because the mean of its divisors is an integer number (3291197).

Almost surely, 241664096 is an apocalyptic number.

It is an amenable number.

41664096 is an abundant number, since it is smaller than the sum of its proper divisors (76818996).

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

41664096 is a wasteful number, since it uses less digits than its factorization.

41664096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144683 (or 144672 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 41664096 is about 6454.7731176239. The cubic root of 41664096 is about 346.6735074258.

It can be divided in two parts, 4 and 1664096, that added together give a square (1664100 = 12902).

The spelling of 41664096 in words is "forty-one million, six hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 144667 289334 434001 578668 868002 1157336 1302003 1736004 2314672 2604006 3472008 4629344 5208012 6944016 10416024 13888032 20832048 41664096