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41607696 = 24313131509
BaseRepresentation
bin1001111010111…
…0001000010000
32220021220000210
42132232020100
541122421241
64043444120
71013442144
oct236561020
986256023
1041607696
1121539529
1211b26640
13880a550
145751224
1539bd316
hex27ae210

41607696 has 80 divisors (see below), whose sum is σ = 116867520. Its totient is φ = 12679680.

The previous prime is 41607691. The next prime is 41607707. The reversal of 41607696 is 69670614.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (41607691) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81490 + ... + 81998.

It is an arithmetic number, because the mean of its divisors is an integer number (1460844).

Almost surely, 241607696 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 41607696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760).

41607696 is an abundant number, since it is smaller than the sum of its proper divisors (75259824).

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

41607696 is a wasteful number, since it uses less digits than its factorization.

41607696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 41607696 is about 6450.4027781217. The cubic root of 41607696 is about 346.5170080501.

The spelling of 41607696 in words is "forty-one million, six hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 262 312 393 509 524 624 786 1018 1048 1527 1572 1703 2036 2096 3054 3144 3406 4072 5109 6108 6288 6617 6812 8144 10218 12216 13234 13624 19851 20436 24432 26468 27248 39702 40872 52936 66679 79404 81744 105872 133358 158808 200037 266716 317616 400074 533432 800148 866827 1066864 1600296 1733654 2600481 3200592 3467308 5200962 6934616 10401924 13869232 20803848 41607696