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41940096 = 273119929
BaseRepresentation
bin1001111111111…
…1010010000000
32220220202222220
42133333102000
541214040341
64054531040
71016325222
oct237772200
986822886
1041940096
1121746240
1212066a80
1388c5933
1457da412
153a36a66
hex27ff480

41940096 has 64 divisors (see below), whose sum is σ = 121543200. Its totient is φ = 12707840.

The previous prime is 41940083. The next prime is 41940097. The reversal of 41940096 is 69004914.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (41940097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741 + ... + 9188.

Almost surely, 241940096 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 41940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60771600).

41940096 is an abundant number, since it is smaller than the sum of its proper divisors (79603104).

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

41940096 is a wasteful number, since it uses less digits than its factorization.

41940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 41940096 is about 6476.1173553295. The cubic root of 41940096 is about 347.4373256187.

The spelling of 41940096 in words is "forty-one million, nine hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 9929 19858 29787 39716 59574 79432 109219 119148 158864 218438 238296 317728 327657 436876 476592 635456 655314 873752 953184 1270912 1310628 1747504 1906368 2621256 3495008 3812736 5242512 6990016 10485024 13980032 20970048 41940096